http://hpclab.ucentral.edu.co/wiki/index.php?title=MMS:_Dynamical_Systems&feed=atom&action=history 2019-03-26T16:19:04Z Revision history for this page on the wiki MediaWiki 1.20.5 http://hpclab.ucentral.edu.co/wiki/index.php?title=MMS:_Dynamical_Systems&diff=7355&oldid=prev 2018-02-08T20:57:39Z

<p></p> <table class='diff diff-contentalign-left'> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr style='vertical-align: top;'> <td colspan='2' style="background-color: white; color:black;">← Older revision</td> <td colspan='2' style="background-color: white; color:black;">Revision as of 20:57, 8 February 2018</td> </tr><tr><td colspan="2" class="diff-lineno">Line 6:</td> <td colspan="2" class="diff-lineno">Line 6:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>(Angélica Ramirez)</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>(Angélica Ramirez)</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div>'''Sesión 1:''' Introducción<del class="diffchange diffchange-inline">: </del>'''<del class="diffchange diffchange-inline">31 de enero</del>'''</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>'''Sesión 1:''' Introducción '''<ins class="diffchange diffchange-inline">(1 semana)</ins>'''</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Introducción a los sistemas dinámicos</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Introducción a los sistemas dinámicos</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Descripción de sistemas</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Descripción de sistemas</div></td></tr> <tr><td colspan="2" class="diff-lineno">Line 12:</td> <td colspan="2" class="diff-lineno">Line 12:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Historia de los sistemas dinámicos</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Historia de los sistemas dinámicos</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div>'''Sesión 2:''' Sistemas lineales de primer orden '''<del class="diffchange diffchange-inline">7 de febrero</del>'''</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>'''Sesión 2:''' Sistemas lineales de primer orden '''<ins class="diffchange diffchange-inline">(2 semana)</ins>'''</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Modelado de sistemas lineales</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Modelado de sistemas lineales</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Análisis de la solución analítica del problema</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Análisis de la solución analítica del problema</div></td></tr> <tr><td colspan="2" class="diff-lineno">Line 21:</td> <td colspan="2" class="diff-lineno">Line 21:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Aplicación en problema de mezclas</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Aplicación en problema de mezclas</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div>'''Sesión 3:''' Sistemas lineales de segundo orden '''<del class="diffchange diffchange-inline">14 de febrero</del>'''</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>'''Sesión 3:''' Sistemas lineales de segundo orden '''<ins class="diffchange diffchange-inline">(3 semana)</ins>'''</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Modelado de sistemas lineales de segundo orden</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Modelado de sistemas lineales de segundo orden</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Análisis de la solución analítica del problema</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Análisis de la solución analítica del problema</div></td></tr> <tr><td colspan="2" class="diff-lineno">Line 29:</td> <td colspan="2" class="diff-lineno">Line 29:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Estabilidad en sistemas lineales de segundo orden</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Estabilidad en sistemas lineales de segundo orden</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div>'''Sesión 4:''' Representación gráfica de problemas dinámicos&#160; '''<del class="diffchange diffchange-inline">21 de febrero</del>'''</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>'''Sesión 4:''' Representación gráfica de problemas dinámicos&#160; '''<ins class="diffchange diffchange-inline">(4 semana)</ins>'''</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Modelado de caja negra y diagrama de bloques</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Modelado de caja negra y diagrama de bloques</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Representación en variables de estado</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Representación en variables de estado</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Función de transferencia</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Función de transferencia</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>## Polos de la ecuación</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>## Polos de la ecuación</div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div>'''Sesión 5:''' Aplicaciones en Simulink&#160; '''<del class="diffchange diffchange-inline">28 de febrero</del>'''</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>'''Sesión 5:''' Aplicaciones en Simulink&#160; '''<ins class="diffchange diffchange-inline">(5 semana)</ins>'''</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>#&#160; Bases de la programación en Simulink</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>#&#160; Bases de la programación en Simulink</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>#&#160; Función de transferencia trasladada a Simulink</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>#&#160; Función de transferencia trasladada a Simulink</div></td></tr> <tr><td colspan="2" class="diff-lineno">Line 42:</td> <td colspan="2" class="diff-lineno">Line 42:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>==&#160; II. Sistemas dinámicos no lineales ==</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>==&#160; II. Sistemas dinámicos no lineales ==</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div>'''Sesión 6:''' Flujo unidimensional&#160; '''<del class="diffchange diffchange-inline">7 de marzo</del>'''</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>'''Sesión 6:''' Flujo unidimensional&#160; '''<ins class="diffchange diffchange-inline">(6 semana)</ins>'''</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>#&#160; Descripción Geométrica: flujo, puntos fijos, estabilidad. STR[2.1,2.2]</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>#&#160; Descripción Geométrica: flujo, puntos fijos, estabilidad. STR[2.1,2.2]</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>#&#160; Ejemplo: el modelo logístico. STR[2.3]</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>#&#160; Ejemplo: el modelo logístico. STR[2.3]</div></td></tr> <tr><td colspan="2" class="diff-lineno">Line 49:</td> <td colspan="2" class="diff-lineno">Line 49:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div>'''Sesion 7 :''' Bifurcaciones unidimensionales'''<del class="diffchange diffchange-inline">14 de marzo</del>'''</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>'''Sesion 7 :''' Bifurcaciones unidimensionales'''<ins class="diffchange diffchange-inline">(7 semana)</ins>'''</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Tipos de Bifurcaciones STR[3.1,3.2,3.4]</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Tipos de Bifurcaciones STR[3.1,3.2,3.4]</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Ejemplos: Laser, Cuenta rotando en un aro. STR[3.3,3.5]</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Ejemplos: Laser, Cuenta rotando en un aro. STR[3.3,3.5]</div></td></tr> <tr><td colspan="2" class="diff-lineno">Line 60:</td> <td colspan="2" class="diff-lineno">Line 60:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>(Gabriel Villalobos)</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>(Gabriel Villalobos)</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div>'''Sesión 9:''' Flujos Unidimensionales Periódicos '''<del class="diffchange diffchange-inline">28 de marzo</del>'''</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>'''Sesión 9:''' Flujos Unidimensionales Periódicos '''<ins class="diffchange diffchange-inline">(8 semana)</ins>'''</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Definiciones, oscilador uniforme y no uniforme. STR [4.1, 4.2,4.3]</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Definiciones, oscilador uniforme y no uniforme. STR [4.1, 4.2,4.3]</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Ejemplos: El péndulo sobreamortiguado y las luciérnagas.</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Ejemplos: El péndulo sobreamortiguado y las luciérnagas.</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div>'''Sesión 10:''' Flujos 2D: Espacio de fase de sistemas lineales '''<del class="diffchange diffchange-inline">11 de abril</del>'''</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>'''Sesión 10:''' Flujos 2D: Espacio de fase de sistemas lineales '''<ins class="diffchange diffchange-inline">(9 semana)</ins>'''</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Definiciones, y clasificación STR[5.1,5.2]</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Definiciones, y clasificación STR[5.1,5.2]</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Ejemplo: Líos amorosos STR[5.3]</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Ejemplo: Líos amorosos STR[5.3]</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div>'''Sesiones 11 y 12''' Flujos 2D: Espacio de fase de sistemas no-lineales '''<del class="diffchange diffchange-inline">18 </del>y <del class="diffchange diffchange-inline">25 de abril</del>'''</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>'''Sesiones 11 y 12''' Flujos 2D: Espacio de fase de sistemas no-lineales '''<ins class="diffchange diffchange-inline">(10 </ins>y <ins class="diffchange diffchange-inline">11 semana)</ins>'''</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Retratos del espacio de fase STR[6.1</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Retratos del espacio de fase STR[6.1</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Existencia, unicidad y consecuencias topológicas. STR[6.2]</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Existencia, unicidad y consecuencias topológicas. STR[6.2]</div></td></tr> <tr><td colspan="2" class="diff-lineno">Line 76:</td> <td colspan="2" class="diff-lineno">Line 76:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Ejemplo: El péndulo STR[6.7] G[3.1,3.2]</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Ejemplo: El péndulo STR[6.7] G[3.1,3.2]</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div>'''Sesiones 13 y 14:'''Ciclos Límite y Sistemas discretos, los mapas. '''<del class="diffchange diffchange-inline">2 </del>y <del class="diffchange diffchange-inline">9 de mayo</del>'''</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>'''Sesiones 13 y 14:'''Ciclos Límite y Sistemas discretos, los mapas. '''<ins class="diffchange diffchange-inline">(12 </ins>y <ins class="diffchange diffchange-inline">13 semana)</ins>'''</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Ciclos límites. STR[7.0,7.1]</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Ciclos límites. STR[7.0,7.1]</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Mapas: Definiciones STR[10.0, 10.1]</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Mapas: Definiciones STR[10.0, 10.1]</div></td></tr> <tr><td colspan="2" class="diff-lineno">Line 84:</td> <td colspan="2" class="diff-lineno">Line 84:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Exponentes de Lyapunov STR[10.5]</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Exponentes de Lyapunov STR[10.5]</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div>'''Sesion 15:'''Ecuaciones de Lorenz '''<del class="diffchange diffchange-inline">16 de mayo</del>'''</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>'''Sesion 15:'''Ecuaciones de Lorenz '''<ins class="diffchange diffchange-inline">(14 semana)</ins>'''</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Modelo: Un molino de agua caótico STR[9.1]</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Modelo: Un molino de agua caótico STR[9.1]</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Propiedades de las ecuaciones de Lorenz STR[9.2] GIO[3.4]</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Propiedades de las ecuaciones de Lorenz STR[9.2] GIO[3.4]</div></td></tr> <tr><td colspan="2" class="diff-lineno">Line 90:</td> <td colspan="2" class="diff-lineno">Line 90:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Mapa de Lorenz STR[9.4,9.5]</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Mapa de Lorenz STR[9.4,9.5]</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div>&#160; '''Sesión 16:''' Examen Parcial '''<del class="diffchange diffchange-inline">23 de mayo</del>'''</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>&#160; '''Sesión 16:''' Examen Parcial '''<ins class="diffchange diffchange-inline">(15 semana)</ins>'''</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>= '''Bibliografía''' =</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>= '''Bibliografía''' =</div></td></tr> </table>

Aramirez http://hpclab.ucentral.edu.co/wiki/index.php?title=MMS:_Dynamical_Systems&diff=4505&oldid=prev 2015-02-07T09:12:54Z

<p>‎<span dir="auto"><span class="autocomment">I. Sistemas dinámicos lineales</span></span></p> <table class='diff diff-contentalign-left'> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr style='vertical-align: top;'> <td colspan='2' style="background-color: white; color:black;">← Older revision</td> <td colspan='2' style="background-color: white; color:black;">Revision as of 09:12, 7 February 2015</td> </tr><tr><td colspan="2" class="diff-lineno">Line 14:</td> <td colspan="2" class="diff-lineno">Line 14:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>'''Sesión 2:''' Sistemas lineales de primer orden '''7 de febrero'''</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>'''Sesión 2:''' Sistemas lineales de primer orden '''7 de febrero'''</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Modelado de sistemas lineales</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Modelado de sistemas lineales</div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del style="color: red; font-weight: bold; text-decoration: none;"># Función de transferencia</del></div></td><td colspan="2">&#160;</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Análisis de la solución analítica del problema</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Análisis de la solución analítica del problema</div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del style="color: red; font-weight: bold; text-decoration: none;">## Polos de la ecuación</del></div></td><td colspan="2">&#160;</td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del style="color: red; font-weight: bold; text-decoration: none;"># Identificación de modelos</del></div></td><td colspan="2">&#160;</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Análisis de la solución&#160; gráfica del problema</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Análisis de la solución&#160; gráfica del problema</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>## gráfico del campo de pendientes</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>## gráfico del campo de pendientes</div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;"># Identificación de modelos</ins></div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Estabilidad en sistemas lineales de primer orden</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Estabilidad en sistemas lineales de primer orden</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Aplicación en problema de mezclas</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Aplicación en problema de mezclas</div></td></tr> <tr><td colspan="2" class="diff-lineno">Line 25:</td> <td colspan="2" class="diff-lineno">Line 23:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>'''Sesión 3:''' Sistemas lineales de segundo orden '''14 de febrero'''</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>'''Sesión 3:''' Sistemas lineales de segundo orden '''14 de febrero'''</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Modelado de sistemas lineales de segundo orden</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Modelado de sistemas lineales de segundo orden</div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del style="color: red; font-weight: bold; text-decoration: none;"># Función de transferencia</del></div></td><td colspan="2">&#160;</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Análisis de la solución analítica del problema</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Análisis de la solución analítica del problema</div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del style="color: red; font-weight: bold; text-decoration: none;">## Polos de la ecuación</del></div></td><td colspan="2">&#160;</td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del style="color: red; font-weight: bold; text-decoration: none;"># Identificación de modelos</del></div></td><td colspan="2">&#160;</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Análisis de la solución&#160; gráfica del problema</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Análisis de la solución&#160; gráfica del problema</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>## Diagrama de fase</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>## Diagrama de fase</div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;"># Identificación de modelos</ins></div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Estabilidad en sistemas lineales de segundo orden</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Estabilidad en sistemas lineales de segundo orden</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td colspan="2" class="diff-lineno">Line 36:</td> <td colspan="2" class="diff-lineno">Line 32:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Modelado de caja negra y diagrama de bloques</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Modelado de caja negra y diagrama de bloques</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Representación en variables de estado</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Representación en variables de estado</div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div>&#160;</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline"># Función de transferencia</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline">## Polos de la ecuación</ins></div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>'''Sesión 5:''' Aplicaciones en Simulink&#160; '''28 de febrero'''</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>'''Sesión 5:''' Aplicaciones en Simulink&#160; '''28 de febrero'''</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>#&#160; Bases de la programación en Simulink</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>#&#160; Bases de la programación en Simulink</div></td></tr> </table>

Aramirez http://hpclab.ucentral.edu.co/wiki/index.php?title=MMS:_Dynamical_Systems&diff=4427&oldid=prev 2015-01-29T17:49:31Z

<p></p> <table class='diff diff-contentalign-left'> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr style='vertical-align: top;'> <td colspan='2' style="background-color: white; color:black;">← Older revision</td> <td colspan='2' style="background-color: white; color:black;">Revision as of 17:49, 29 January 2015</td> </tr><tr><td colspan="2" class="diff-lineno">Line 6:</td> <td colspan="2" class="diff-lineno">Line 6:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>(Angélica Ramirez)</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>(Angélica Ramirez)</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del class="diffchange diffchange-inline"># </del>'''<del class="diffchange diffchange-inline">Sesion </del>1:''' Introducción: '''<del class="diffchange diffchange-inline">2 </del>de <del class="diffchange diffchange-inline">agosto</del>'''</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>'''<ins class="diffchange diffchange-inline">Sesión </ins>1:''' Introducción: '''<ins class="diffchange diffchange-inline">31 </ins>de <ins class="diffchange diffchange-inline">enero</ins>'''</div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div>#<del class="diffchange diffchange-inline"># Caos, fractales, dinámica</del></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div># <ins class="diffchange diffchange-inline">Introducción a los sistemas dinámicos</ins></div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del class="diffchange diffchange-inline">## Historia de la dinámica</del></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div># Descripción de <ins class="diffchange diffchange-inline">sistemas</ins></div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del class="diffchange diffchange-inline"># '''Sesión 2:''' Flujo Unidimensional '''9 de agosto'''</del></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div># Sistemas <ins class="diffchange diffchange-inline">estáticos vs</ins>. <ins class="diffchange diffchange-inline">sistemas dinámicos</ins></div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del class="diffchange diffchange-inline">#</del># Descripción <del class="diffchange diffchange-inline">Geométrica: flujo, puntos fijos, estabilidad. STR[2.1,2.2]</del></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div># <ins class="diffchange diffchange-inline">Historia </ins>de <ins class="diffchange diffchange-inline">los </ins>sistemas <ins class="diffchange diffchange-inline">dinámicos</ins></div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del class="diffchange diffchange-inline">## Ejemplo: el modelo logístico.&#160; STR[2.3]</del></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div></div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del class="diffchange diffchange-inline">## Análisis </del>de <del class="diffchange diffchange-inline">Estabilidad en 1D. STR[2.4,2.5,2.6]</del></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div></div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del class="diffchange diffchange-inline">#</del># Sistemas <del class="diffchange diffchange-inline">conservativos 1: Potenciales y gradientes</del>. <del class="diffchange diffchange-inline"> STR[2.7]</del></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div></div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div># <del class="diffchange diffchange-inline">'''Sesión 3:''' Flujos Unidimensionales Periódicos '''16 de Agosto'''</del></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div></div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del class="diffchange diffchange-inline">## Definiciones, oscilador uniforme y no uniforme. STR [4.1, 4.2,4.3]</del></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div></div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del class="diffchange diffchange-inline">## Ejemplos: El péndulo sobreamortiguado y las luciérnagas.</del></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div></div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del class="diffchange diffchange-inline"># '''Sesion 4:''' Flujos 2D: Espacio de fase </del>de sistemas <del class="diffchange diffchange-inline">lineales '''23 de Agosto'''</del></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div></div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del class="diffchange diffchange-inline">## Definiciones, y clasificación STR[5.1,5.2]</del></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div></div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del class="diffchange diffchange-inline">## Ejemplo: Líos amorosos STR[5.3]</del></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div></div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del class="diffchange diffchange-inline">== II. Solución numérica </del>de sistemas lineales <del class="diffchange diffchange-inline">== </del></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline">'''Sesión 2:''' Sistemas lineales de primer orden '''7 de febrero'''</ins></div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del class="diffchange diffchange-inline">(Angélica Ramirez, Manuel Mejía)</del></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline"># Modelado </ins>de sistemas lineales</div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline"># Función de transferencia</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline"># Análisis de la solución analítica del problema</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline">## Polos de la ecuación</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline"># Identificación de modelos</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline"># Análisis de la solución&#160; gráfica del problema</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline">## gráfico del campo de pendientes</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline"># Estabilidad en sistemas lineales de primer orden</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline"># Aplicación en problema de mezclas</ins></div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del class="diffchange diffchange-inline">[[Media</del>:<del class="diffchange diffchange-inline">ClaseSDMM.pdf| Clase]]</del></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline">'''Sesión 3</ins>:<ins class="diffchange diffchange-inline">''' Sistemas lineales de segundo orden '''14 de febrero'''</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline"># Modelado de sistemas lineales de segundo orden</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline"># Función de transferencia</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline"># Análisis de la solución analítica del problema</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline">## Polos de la ecuación</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline"># Identificación de modelos</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline"># Análisis de la solución&#160; gráfica del problema</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline">## Diagrama de fase</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline"># Estabilidad en sistemas lineales de segundo orden</ins></div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del class="diffchange diffchange-inline"># </del>'''Sesión <del class="diffchange diffchange-inline">5:''' Solución analítica a través de transformaciones '''30 de Agosto'''</del></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>'''Sesión <ins class="diffchange diffchange-inline">4</ins>:''' Representación gráfica de problemas dinámicos <ins class="diffchange diffchange-inline"> </ins>'''<ins class="diffchange diffchange-inline">21 </ins>de <ins class="diffchange diffchange-inline">febrero</ins>'''</div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del class="diffchange diffchange-inline">## Definiciones: Transformadas de Laplace y de fourier</del></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div># <ins class="diffchange diffchange-inline">Modelado </ins>de caja negra y <ins class="diffchange diffchange-inline">diagrama </ins>de bloques</div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del class="diffchange diffchange-inline">## Propiedades de las transformadas de Laplace</del></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div># Representación en variables de estado</div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del class="diffchange diffchange-inline">## Parejas de transformadas</del></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div></div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del class="diffchange diffchange-inline">## Solución de EDO's mediante trasnformadas</del></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div></div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del class="diffchange diffchange-inline">## Transformadas Inversas por Expansión de Fracciones Parciales</del></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div></div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del class="diffchange diffchange-inline"># '''Sesión 6</del>:''' Representación gráfica de problemas dinámicos '''<del class="diffchange diffchange-inline">6 </del>de <del class="diffchange diffchange-inline">Septiembre</del>'''</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div></div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div>#<del class="diffchange diffchange-inline">#Modelos </del>de caja negra y <del class="diffchange diffchange-inline">diagramas </del>de bloques &#160;</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div></div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del class="diffchange diffchange-inline">##función de transferencia</del></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div></div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del class="diffchange diffchange-inline">#</del>#Representación en variables de estado</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div></div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del class="diffchange diffchange-inline"># '''Sesión 7:''' Aplicaciones en Simulink '''13 de Septiembre'''</del></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div></div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del class="diffchange diffchange-inline">## Bases de la programación en Simulink</del></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div></div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del class="diffchange diffchange-inline">## Función de trasferencia trasladada a Simulink</del></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div></div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del class="diffchange diffchange-inline">## Aplicación al oscilador uniforme y no uniforme</del></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div></div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div>==&#160; <del class="diffchange diffchange-inline">III</del>. Sistemas dinámicos no lineales <del class="diffchange diffchange-inline">unidimensionales: Bifurcaciones </del>==</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline">'''Sesión 5:''' Aplicaciones en Simulink&#160; '''28 de febrero'''</ins></div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div>'''Sesion <del class="diffchange diffchange-inline">8</del>:'''<del class="diffchange diffchange-inline">(Angélica Ramírez) </del>'''<del class="diffchange diffchange-inline">20 </del>de <del class="diffchange diffchange-inline">septiembre</del>'''</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline">#&#160; Bases de la programación en Simulink</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline">#&#160; Función de transferencia trasladada a Simulink</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline">#&#160; Aplicación al oscilador uniforme </ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline">#&#160; Otros métodos numéricos para la solución de sistemas dinámicos</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>&#160;</div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>==&#160; <ins class="diffchange diffchange-inline">II</ins>. Sistemas dinámicos no lineales ==</div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>&#160;</div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline">'''Sesión 6:''' Flujo unidimensional&#160; '''7 de marzo'''</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline">#&#160; Descripción Geométrica: flujo, puntos fijos, estabilidad. STR[2.1,2.2]</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline">#&#160; Ejemplo: el modelo logístico. STR[2.3]</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline">#&#160; Análisis de Estabilidad en 1D. STR[2.4,2.5,2.6]</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline">#&#160; Sistemas conservativos 1: Potenciales y gradientes. STR[2.7]</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>&#160;</div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>&#160;</div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>'''Sesion <ins class="diffchange diffchange-inline">7 </ins>:''' <ins class="diffchange diffchange-inline">Bifurcaciones unidimensionales</ins>'''<ins class="diffchange diffchange-inline">14 </ins>de <ins class="diffchange diffchange-inline">marzo</ins>'''</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Tipos de Bifurcaciones STR[3.1,3.2,3.4]</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Tipos de Bifurcaciones STR[3.1,3.2,3.4]</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Ejemplos: Laser, Cuenta rotando en un aro. STR[3.3,3.5]</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Ejemplos: Laser, Cuenta rotando en un aro. STR[3.3,3.5]</div></td></tr> <tr><td colspan="2" class="diff-lineno">Line 48:</td> <td colspan="2" class="diff-lineno">Line 58:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Ejemplo: Plaga de insectos.</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># Ejemplo: Plaga de insectos.</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del class="diffchange diffchange-inline">== IV. Solución numérica de sistemas no lineales ==</del></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline"> </ins>'''<ins class="diffchange diffchange-inline">Sesion 8 </ins>:''' <ins class="diffchange diffchange-inline">Examen Parcial&#160; </ins>'''<ins class="diffchange diffchange-inline">21 </ins>de <ins class="diffchange diffchange-inline">marzo</ins>'''</div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div>'''<del class="diffchange diffchange-inline">Sesiones 9 y 10</del>:''' <del class="diffchange diffchange-inline">(Manuel Mejía) </del>'''<del class="diffchange diffchange-inline">27 de septiembre y 4 </del>de <del class="diffchange diffchange-inline">octubre</del>'''</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div></div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del class="diffchange diffchange-inline"># Técnicas de linealización de sistemas no lineales</del></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>== <ins class="diffchange diffchange-inline">III</ins>. Sistemas no lineales y Caos ==</div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del class="diffchange diffchange-inline"># Aplicación al péndulo</del></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div></div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del class="diffchange diffchange-inline"># Métodos numéricos para sistemas no lineales</del></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div></div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div>&#160;</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div></div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del class="diffchange diffchange-inline">''' 11 de Octubre: Receso '''</del></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div></div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div>== <del class="diffchange diffchange-inline">V</del>. Sistemas no lineales y Caos ==</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div></div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>(Gabriel Villalobos)</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>(Gabriel Villalobos)</div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div># '''<del class="diffchange diffchange-inline">Sesion 11</del>''' Flujos 2D: Espacio de fase de sistemas lineales<del class="diffchange diffchange-inline">. </del>'''<del class="diffchange diffchange-inline">18 </del>de <del class="diffchange diffchange-inline">Octubre</del>'''</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>&#160;</div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div># '''Sesiones <del class="diffchange diffchange-inline">12 </del>y <del class="diffchange diffchange-inline">13</del>''' Flujos 2D: Espacio de fase de sistemas no-lineales '''25 de <del class="diffchange diffchange-inline">Octubre y 1 de Noviembre</del>'''</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline">'''Sesión 9:''' Flujos Unidimensionales Periódicos '''28 de marzo'''</ins></div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del class="diffchange diffchange-inline">#</del># Retratos del espacio de fase STR[6.1</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div># <ins class="diffchange diffchange-inline">Definiciones, oscilador uniforme y no uniforme. STR [4.1, 4.2,4.3]</ins></div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del class="diffchange diffchange-inline">#</del># Existencia, unicidad y consecuencias topológicas. STR[6.2]</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline"># Ejemplos: El péndulo sobreamortiguado y las luciérnagas.</ins></div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del class="diffchange diffchange-inline">#</del># Puntos fijos y Linealización&#160; STR[6.3]</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>&#160;</div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del class="diffchange diffchange-inline">#</del># Ejemplo: Modelo Lotka-Volterra STR[6.4]</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>'''<ins class="diffchange diffchange-inline">Sesión 10:</ins>''' Flujos 2D: Espacio de fase de sistemas lineales '''<ins class="diffchange diffchange-inline">11 </ins>de <ins class="diffchange diffchange-inline">abril</ins>'''</div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del class="diffchange diffchange-inline">#</del># Sistemas Conservativos 2D STR[6.5]</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div># <ins class="diffchange diffchange-inline">Definiciones, y clasificación STR[5.1,5.2]</ins></div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del class="diffchange diffchange-inline">#</del># Ejemplo: El péndulo STR[6.7] G[3.1,3.2]</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline"># Ejemplo: Líos amorosos STR[5.3]</ins></div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del class="diffchange diffchange-inline"># </del>'''Sesiones 13 y 14:'''Ciclos Límite y Sistemas discretos, los mapas. '''<del class="diffchange diffchange-inline">8 </del>de <del class="diffchange diffchange-inline">Noviembre</del>'''</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>&#160;</div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del class="diffchange diffchange-inline">#</del># Ciclos límites. STR[7.0,7.1]</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>'''Sesiones <ins class="diffchange diffchange-inline">11 </ins>y <ins class="diffchange diffchange-inline">12</ins>''' Flujos 2D: Espacio de fase de sistemas no-lineales '''<ins class="diffchange diffchange-inline">18 y </ins>25 de <ins class="diffchange diffchange-inline">abril</ins>'''</div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del class="diffchange diffchange-inline">#</del># Mapas: Definiciones STR[10.0, 10.1]</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div># Retratos del espacio de fase STR[6.1</div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del class="diffchange diffchange-inline">#</del># Ejemplo: el [[mapeo logístico]] STR[10.2,10.3,10.4]</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div># Existencia, unicidad y consecuencias topológicas. STR[6.2]</div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del class="diffchange diffchange-inline">#</del># Trayectorias periódicas en Billares GIO[60]</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div># Puntos fijos y Linealización&#160; STR[6.3]</div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del class="diffchange diffchange-inline">#</del># Mapas: El mapa del Panadero, El Mapa del Gato.</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div># Ejemplo: Modelo Lotka-Volterra STR[6.4]</div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del class="diffchange diffchange-inline">#</del># Exponentes de Lyapunov STR[10.5]</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div># Sistemas Conservativos 2D STR[6.5]</div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del class="diffchange diffchange-inline"># </del>'''Sesion 15:'''Ecuaciones de Lorenz '''<del class="diffchange diffchange-inline">15 </del>de <del class="diffchange diffchange-inline">Noviembre</del>'''</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div># Ejemplo: El péndulo STR[6.7] G[3.1,3.2]</div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del class="diffchange diffchange-inline">#</del># Modelo: Un molino de agua caótico STR[9.1]</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>&#160;</div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del class="diffchange diffchange-inline">#</del># Propiedades de las ecuaciones de Lorenz STR[9.2] GIO[3.4]</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>'''Sesiones 13 y 14:'''Ciclos Límite y Sistemas discretos, los mapas. '''<ins class="diffchange diffchange-inline">2 y 9 </ins>de <ins class="diffchange diffchange-inline">mayo</ins>'''</div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del class="diffchange diffchange-inline">#</del># Caos en un atractor extraño STR[9.3]</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div># Ciclos límites. STR[7.0,7.1]</div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del class="diffchange diffchange-inline">#</del># Mapa de Lorenz STR[9.4,9.5]</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div># Mapas: Definiciones STR[10.0, 10.1]</div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del class="diffchange diffchange-inline"># </del>'''Sesión 16:''' Examen Parcial '''<del class="diffchange diffchange-inline">22 </del>de <del class="diffchange diffchange-inline">Noviembre</del>'''</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div># Ejemplo: el [[mapeo logístico]] STR[10.2,10.3,10.4]</div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div># Trayectorias periódicas en Billares GIO[60]</div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div># Mapas: El mapa del Panadero, El Mapa del Gato.</div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div># Exponentes de Lyapunov STR[10.5]</div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>&#160;</div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>'''Sesion 15:'''Ecuaciones de Lorenz '''<ins class="diffchange diffchange-inline">16 </ins>de <ins class="diffchange diffchange-inline">mayo</ins>'''</div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div># Modelo: Un molino de agua caótico STR[9.1]</div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div># Propiedades de las ecuaciones de Lorenz STR[9.2] GIO[3.4]</div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div># Caos en un atractor extraño STR[9.3]</div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div># Mapa de Lorenz STR[9.4,9.5]</div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>&#160;</div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline"> </ins>'''Sesión 16:''' Examen Parcial '''<ins class="diffchange diffchange-inline">23 </ins>de <ins class="diffchange diffchange-inline">mayo</ins>'''</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>= '''Bibliografía''' =</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>= '''Bibliografía''' =</div></td></tr> </table>

Aramirez http://hpclab.ucentral.edu.co/wiki/index.php?title=MMS:_Dynamical_Systems&diff=4235&oldid=prev 2014-11-07T15:59:31Z

<p>‎<span dir="auto"><span class="autocomment">V. Sistemas no lineales y Caos</span></span></p> <table class='diff diff-contentalign-left'> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr style='vertical-align: top;'> <td colspan='2' style="background-color: white; color:black;">← Older revision</td> <td colspan='2' style="background-color: white; color:black;">Revision as of 15:59, 7 November 2014</td> </tr><tr><td colspan="2" class="diff-lineno">Line 69:</td> <td colspan="2" class="diff-lineno">Line 69:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>## Ciclos límites. STR[7.0,7.1]</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>## Ciclos límites. STR[7.0,7.1]</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>## Mapas: Definiciones STR[10.0, 10.1]</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>## Mapas: Definiciones STR[10.0, 10.1]</div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div>## Ejemplo: el mapeo logístico STR[10.2,10.3,10.4]</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>## Ejemplo: el <ins class="diffchange diffchange-inline">[[</ins>mapeo logístico<ins class="diffchange diffchange-inline">]] </ins>STR[10.2,10.3,10.4]</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>## Trayectorias periódicas en Billares GIO[60]</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>## Trayectorias periódicas en Billares GIO[60]</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>## Mapas: El mapa del Panadero, El Mapa del Gato.</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>## Mapas: El mapa del Panadero, El Mapa del Gato.</div></td></tr> </table>

Gvillalobos http://hpclab.ucentral.edu.co/wiki/index.php?title=MMS:_Dynamical_Systems&diff=4215&oldid=prev 2014-11-06T19:05:26Z

<p>‎<span dir="auto"><span class="autocomment">V. Sistemas no lineales y Caos</span></span></p> <table class='diff diff-contentalign-left'> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr style='vertical-align: top;'> <td colspan='2' style="background-color: white; color:black;">← Older revision</td> <td colspan='2' style="background-color: white; color:black;">Revision as of 19:05, 6 November 2014</td> </tr><tr><td colspan="2" class="diff-lineno">Line 68:</td> <td colspan="2" class="diff-lineno">Line 68:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># '''Sesiones 13 y 14:'''Ciclos Límite y Sistemas discretos, los mapas. '''8 de Noviembre'''</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># '''Sesiones 13 y 14:'''Ciclos Límite y Sistemas discretos, los mapas. '''8 de Noviembre'''</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>## Ciclos límites. STR[7.0,7.1]</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>## Ciclos límites. STR[7.0,7.1]</div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div>## Definiciones STR[10.0, 10.1]</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>## <ins class="diffchange diffchange-inline">Mapas: </ins>Definiciones STR[10.0, 10.1]</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>## Ejemplo: el mapeo logístico STR[10.2,10.3,10.4]</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>## Ejemplo: el mapeo logístico STR[10.2,10.3,10.4]</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>## Trayectorias periódicas en Billares GIO[60]</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>## Trayectorias periódicas en Billares GIO[60]</div></td></tr> </table>

Gvillalobos http://hpclab.ucentral.edu.co/wiki/index.php?title=MMS:_Dynamical_Systems&diff=4214&oldid=prev 2014-11-06T19:04:35Z

<p>‎<span dir="auto"><span class="autocomment">V. Sistemas no lineales y Caos</span></span></p> <table class='diff diff-contentalign-left'> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr style='vertical-align: top;'> <td colspan='2' style="background-color: white; color:black;">← Older revision</td> <td colspan='2' style="background-color: white; color:black;">Revision as of 19:04, 6 November 2014</td> </tr><tr><td colspan="2" class="diff-lineno">Line 58:</td> <td colspan="2" class="diff-lineno">Line 58:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>== V. Sistemas no lineales y Caos ==</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>== V. Sistemas no lineales y Caos ==</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>(Gabriel Villalobos)</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>(Gabriel Villalobos)</div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div>&#160;</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline"># '''Sesion 11''' Flujos 2D: Espacio de fase de sistemas lineales. '''18 de Octubre'''</ins></div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div># '''Sesiones <del class="diffchange diffchange-inline">11 y </del>12''' Flujos 2D: Espacio de fase de sistemas no-lineales '''<del class="diffchange diffchange-inline">18 y </del>25 de Octubre'''</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div># '''Sesiones 12 <ins class="diffchange diffchange-inline">y 13</ins>''' Flujos 2D: Espacio de fase de sistemas no-lineales '''25 de Octubre <ins class="diffchange diffchange-inline">y 1 de Noviembre</ins>'''</div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div>## Retratos del espacio de fase STR[6.1<del class="diffchange diffchange-inline">]</del></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>## Retratos del espacio de fase STR[6.1</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>## Existencia, unicidad y consecuencias topológicas. STR[6.2]</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>## Existencia, unicidad y consecuencias topológicas. STR[6.2]</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>## Puntos fijos y Linealización&#160; STR[6.3]</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>## Puntos fijos y Linealización&#160; STR[6.3]</div></td></tr> <tr><td colspan="2" class="diff-lineno">Line 66:</td> <td colspan="2" class="diff-lineno">Line 66:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>## Sistemas Conservativos 2D STR[6.5]</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>## Sistemas Conservativos 2D STR[6.5]</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>## Ejemplo: El péndulo STR[6.7] G[3.1,3.2]</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>## Ejemplo: El péndulo STR[6.7] G[3.1,3.2]</div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;"># '''Sesiones 13 y 14:'''Ciclos Límite y Sistemas discretos, los mapas. '''8 de Noviembre'''</ins></div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>## Ciclos límites. STR[7.0,7.1]</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>## Ciclos límites. STR[7.0,7.1]</div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del style="color: red; font-weight: bold; text-decoration: none;"># '''Sesiones 13 y 14:'''Sistemas discretos, los mapas. '''1 y 8 de Noviembre'''</del></div></td><td colspan="2">&#160;</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>## Definiciones STR[10.0, 10.1]</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>## Definiciones STR[10.0, 10.1]</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>## Ejemplo: el mapeo logístico STR[10.2,10.3,10.4]</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>## Ejemplo: el mapeo logístico STR[10.2,10.3,10.4]</div></td></tr> </table>

Gvillalobos http://hpclab.ucentral.edu.co/wiki/index.php?title=MMS:_Dynamical_Systems&diff=4144&oldid=prev 2014-10-10T22:30:42Z

<p>‎<span dir="auto"><span class="autocomment">V. Sistemas no lineales y Caos</span></span></p> <table class='diff diff-contentalign-left'> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr style='vertical-align: top;'> <td colspan='2' style="background-color: white; color:black;">← Older revision</td> <td colspan='2' style="background-color: white; color:black;">Revision as of 22:30, 10 October 2014</td> </tr><tr><td colspan="2" class="diff-lineno">Line 78:</td> <td colspan="2" class="diff-lineno">Line 78:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>## Caos en un atractor extraño STR[9.3]</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>## Caos en un atractor extraño STR[9.3]</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>## Mapa de Lorenz STR[9.4,9.5]</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>## Mapa de Lorenz STR[9.4,9.5]</div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;"># '''Sesión 16:''' Examen Parcial '''22 de Noviembre'''</ins></div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>= '''Bibliografía''' =</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>= '''Bibliografía''' =</div></td></tr> </table>

Gvillalobos http://hpclab.ucentral.edu.co/wiki/index.php?title=MMS:_Dynamical_Systems&diff=4142&oldid=prev 2014-10-04T16:04:31Z

<p></p> <table class='diff diff-contentalign-left'> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr style='vertical-align: top;'> <td colspan='2' style="background-color: white; color:black;">← Older revision</td> <td colspan='2' style="background-color: white; color:black;">Revision as of 16:04, 4 October 2014</td> </tr><tr><td colspan="2" class="diff-lineno">Line 21:</td> <td colspan="2" class="diff-lineno">Line 21:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>## Ejemplo: Líos amorosos STR[5.3]</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>## Ejemplo: Líos amorosos STR[5.3]</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div>== II. Solución numérica de sistemas lineales == <del class="diffchange diffchange-inline"> [[Media:ClaseSDMM.pdf| Clase]]</del></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>== II. Solución numérica de sistemas lineales == &#160;</div></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div>&#160;</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div></div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>(Angélica Ramirez, Manuel Mejía)</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>(Angélica Ramirez, Manuel Mejía)</div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;"></ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;">[[Media:ClaseSDMM.pdf| Clase]]</ins></div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># '''Sesión 5:''' Solución analítica a través de transformaciones '''30 de Agosto'''</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div># '''Sesión 5:''' Solución analítica a través de transformaciones '''30 de Agosto'''</div></td></tr> </table>

Mmejia http://hpclab.ucentral.edu.co/wiki/index.php?title=MMS:_Dynamical_Systems&diff=4141&oldid=prev 2014-10-04T16:03:50Z

<p></p> <table class='diff diff-contentalign-left'> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr style='vertical-align: top;'> <td colspan='2' style="background-color: white; color:black;">← Older revision</td> <td colspan='2' style="background-color: white; color:black;">Revision as of 16:03, 4 October 2014</td> </tr><tr><td colspan="2" class="diff-lineno">Line 22:</td> <td colspan="2" class="diff-lineno">Line 22:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>== II. Solución numérica de sistemas lineales ==&#160; [[Media:ClaseSDMM.pdf| Clase]]</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>== II. Solución numérica de sistemas lineales ==&#160; [[Media:ClaseSDMM.pdf| Clase]]</div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;"></ins></div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>(Angélica Ramirez, Manuel Mejía)</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>(Angélica Ramirez, Manuel Mejía)</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> </table>

Mmejia http://hpclab.ucentral.edu.co/wiki/index.php?title=MMS:_Dynamical_Systems&diff=4139&oldid=prev 2014-10-04T16:01:25Z

<p></p> <table class='diff diff-contentalign-left'> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr style='vertical-align: top;'> <td colspan='2' style="background-color: white; color:black;">← Older revision</td> <td colspan='2' style="background-color: white; color:black;">Revision as of 16:01, 4 October 2014</td> </tr><tr><td colspan="2" class="diff-lineno">Line 21:</td> <td colspan="2" class="diff-lineno">Line 21:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>## Ejemplo: Líos amorosos STR[5.3]</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>## Ejemplo: Líos amorosos STR[5.3]</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div>== II. Solución numérica de sistemas lineales ==</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>== II. Solución numérica de sistemas lineales == <ins class="diffchange diffchange-inline"> [[Media:ClaseSDMM.pdf| Clase]]</ins></div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>(Angélica Ramirez, Manuel Mejía)</div></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"><div>(Angélica Ramirez, Manuel Mejía)</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'>&#160;</td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> </table>

Mmejia