{"id":25852,"date":"2018-03-09T09:17:24","date_gmt":"2018-03-09T09:17:24","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/continuacion-y-bifurcaciones-de-orbitas-periodicas-en-sistemas-hamiltonianos-con-simetria\/"},"modified":"2018-03-09T09:17:24","modified_gmt":"2018-03-09T09:17:24","slug":"continuacion-y-bifurcaciones-de-orbitas-periodicas-en-sistemas-hamiltonianos-con-simetria","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/sevilla\/continuacion-y-bifurcaciones-de-orbitas-periodicas-en-sistemas-hamiltonianos-con-simetria\/","title":{"rendered":"Continuaci\u00f3n y bifurcaciones de \u00f3rbitas peri\u00f3dicas en sistemas hamiltonianos con simetr\u00eda"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Francisco Javier Mu\u00f1oz Almaraz <\/strong><\/h2>\n<p>En esta tesis se aportan resultado sobre la contaminaci\u00f3n (o persistencia) de \u00f3rbitas peri\u00f3dicas en sistemas de ecuaciones diferenciales que poseen integrales primeras (o cantidades conservadas), como es el caso de los sistemas hamiltonianos. Se obtienen resultados en la l\u00ednea marcada por los trabajos de sepulchre &amp; mackay (1997) que caracterizan geom\u00e9tricamente condiciones que aseguran la persistencia y permiten aplicar t\u00e9cnicas de contaminaci\u00f3n num\u00e9rica. Los resultados expuestos en esta tesis han sido parcialmente publicados en la revista physica d (2003). Adem\u00e1s t\u00e9cnicas de continuaci\u00f3n de \u00f3rbitas peri\u00f3dicas se abordan tambi\u00e9n las dos de otros tipos de objetos din\u00e1micos (equilibrios, \u00f3rbitas peri\u00f3dicas relativas, \u00f3rbitas peri\u00f3dicas sim\u00e9tricas respecto de una reversibilidad, &#8230;).  la tesis est\u00e1 estructurada en tres cap\u00edtulos.  en el primer cap\u00edtulo se desarrollan los resultados te\u00f3ricos sobre continuaci\u00f3n entrelazados con la exposici\u00f3n de los conceptos de la teor\u00eda general de sistemas din\u00e1micos usados. En los dos cap\u00edtulos posteriores se ilustran las ideas del primer problema con aplicaciones a diferentes tipos de sistemas procedentes de la mec\u00e1nica. En el cap\u00edtulo 2 se estudian sistemas integrables: un modelo sencillo polin\u00f3mico, un modelo de pozos cu\u00e1nticos en la aproximaci\u00f3n del campo medio y el p\u00e9ndulo de furuta. En el capitulo 3 se muestran familias de \u00f3rbitas peri\u00f3dicas calculadas tomando como punto de arranque la soluci\u00f3n recientemente encontrada por chenciner &amp; montgomery (2000) para el problema de los tres cuerpos.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Continuaci\u00f3n y bifurcaciones de \u00f3rbitas peri\u00f3dicas en sistemas hamiltonianos con simetr\u00eda<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Continuaci\u00f3n y bifurcaciones de \u00f3rbitas peri\u00f3dicas en sistemas hamiltonianos con simetr\u00eda <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Francisco Javier Mu\u00f1oz Almaraz <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Sevilla<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 26\/09\/2003<\/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>Emilio Freire Mac\u00edas<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: andre Vanderbauwhede <\/li>\n<li>ernest Fontich julia (vocal)<\/li>\n<li>angel Jorba montes (vocal)<\/li>\n<li>Antonio Elipe s\u00e1nchez (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Francisco Javier Mu\u00f1oz Almaraz En esta tesis se aportan resultado sobre la contaminaci\u00f3n (o persistencia) de \u00f3rbitas [&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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