{"id":10059,"date":"1996-01-01T00:00:00","date_gmt":"1996-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/1996\/01\/01\/estabilitat-efectiva-i-tors-invariants-de-sistemes-hamiltonians-quasi-integrables\/"},"modified":"1996-01-01T00:00:00","modified_gmt":"1996-01-01T00:00:00","slug":"estabilitat-efectiva-i-tors-invariants-de-sistemes-hamiltonians-quasi-integrables","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/estabilitat-efectiva-i-tors-invariants-de-sistemes-hamiltonians-quasi-integrables\/","title":{"rendered":"Estabilitat efectiva i tors invariants de sistemes hamiltonians quasi-integrables."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Pere Gutierrez Serres <\/strong><\/h2>\n<p>Se introduce un metodo unificado mediante el cual se prueban los dos principales resultados sobre estabilidad en sistemas hamiltonianos casi-integrables: el teorema de nekhoroshev (estabilidad efectiva) y el teorema kam (existencia de toros invariantes). El metodo consiste en obtener la forma normal usando series de lie, para lo cual se describen dos algoritmos (lineal y cuadratico) que son implementables en ordenadores. En el caso del teorema kam se prueba la version isoenergetica de un modo directo, y ademas se introduce la nocion de toro casi- invariante, la cual constituye un puente entre los teoremas kam y de nekhoroshev. Tambien se prueba el teorema kam en el caso de un entorno de un punto fijo eliptico. Se concluye con algunos resultados acerca de toros hiperbolicos de dimension inferior y sus variedades invariantes.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Estabilitat efectiva i tors invariants de sistemes hamiltonians quasi-integrables.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Estabilitat efectiva i tors invariants de sistemes hamiltonians quasi-integrables. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Pere Gutierrez Serres <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Barcelona<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1996<\/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>Amadeu Delshans Valdes<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Carles Sim\u00f3 Torres <\/li>\n<li>Rafael De La Llave Canaso (vocal)<\/li>\n<li>Miquel Noguera Batlle (vocal)<\/li>\n<li>Rudolf Jauslin Hans (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Pere Gutierrez Serres Se introduce un metodo unificado mediante el cual se prueban los dos principales resultados [&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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