{"id":140489,"date":"2026-01-12T17:55:20","date_gmt":"2026-01-12T17:55:20","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/sistemas-dinamicos-bajo-la-accion-del-grupo-so-3-el-caso-de-un-hamiltoniano-cuadratico\/"},"modified":"2026-01-12T17:55:20","modified_gmt":"2026-01-12T17:55:20","slug":"sistemas-dinamicos-bajo-la-accion-del-grupo-so-3-el-caso-de-un-hamiltoniano-cuadratico","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/sistemas-dinamicos-bajo-la-accion-del-grupo-so-3-el-caso-de-un-hamiltoniano-cuadratico\/","title":{"rendered":"Sistemas dinamicos bajo la accion del grupo so (3): el caso de un hamiltoniano cuadratico."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Victor Lanchares Barrasa <\/strong><\/h2>\n<p>Se aborda el problema de un sistema dinamico representado por un hamiltoniano cuadratico en un espacio de fases esferico con estructura simplectica lo mas simple posible. Dentro del problema general, estudiamos el caso biparametrico obteniendo la evolucion completa del sistema en funcion de los parametros del mismo.  se establece la reduccion a dos clases diferenciadas de hamiltonianos biparametricos.  en ambos casos se hace un analisis del equilibrio y estabilidad que permite descubrir las bifurcaciones que tienen lugar en el plano de parametros. Entre otras se describe un nuevo tipo de bifurcacion de tipo mariposa que se ha denominado bifurcacion de la mosca. En algunos casos, el analisis del equilibrio y estabilidad se efectua mediante una nueva tecnica de experimentacion que combina metodos numericos, graficos y analiticos. Con esta tecnica se justifica el contexto en que tiene lugar la denominada bifurcacion de la lagrima. Finalmente, y en los casos en que es posible, se obtienen las soluciones del problema en terminos de funciones elipticas, hiperbolicas y circulares.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Sistemas dinamicos bajo la accion del grupo so (3): el caso de un hamiltoniano cuadratico.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Sistemas dinamicos bajo la accion del grupo so (3): el caso de un hamiltoniano cuadratico. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Victor Lanchares Barrasa <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Zaragoza<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1992<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h3>Direcci\u00f3n y tribunal<\/h3>\n<ul>\n<li><strong>Director de la tesis<\/strong>\n<ul>\n<li>Antonio Elipe Sanchez<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Vicente Camarena Badia <\/li>\n<li>Rafael Obaya Garcia (vocal)<\/li>\n<li> Guadalupe Hernandez Jos\u00e9 Javier (vocal)<\/li>\n<li>Alberto Jos\u00e9 Abad Medina (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Victor Lanchares Barrasa Se aborda el problema de un sistema dinamico representado por un hamiltoniano cuadratico en [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center 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