{"id":135967,"date":"1997-01-01T00:00:00","date_gmt":"1997-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/dinamicas-absolutamente-continua-y-singular-en-sistemas-lineales-bidimensionales\/"},"modified":"1997-01-01T00:00:00","modified_gmt":"1997-01-01T00:00:00","slug":"dinamicas-absolutamente-continua-y-singular-en-sistemas-lineales-bidimensionales","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/dinamicas-absolutamente-continua-y-singular-en-sistemas-lineales-bidimensionales\/","title":{"rendered":"Dinamicas absolutamente continua y singular en sistemas lineales bidimensionales."},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Alonso De Mena Ana Isabel <\/strong><\/h2>\n<p>Consideremos una familia de sistemas lineales bidimensionales cuyos coeficientes son funciones continuas evaluadas a lo largo de las trayectorias definidas por un flujo continuo en un espacio metrico.  desde el punto de vista ergodico la dinamica de estos sistemas se divide en dos tipos: dinamica absolutamente continua y dinamica singular. El objetivo principal de este trabajo consiste en explicar las caracteristicas basicas de estas dinamicas y sus diferencias.  en dinamica absolutamente continua se obtiene una descripcion completa de la estructura medible del flujo proyectivo inducido, se establece una relacion directa entre las medidas lineales y las laminas ergodicas y se demuestra que toda medida invariante absolutamente continua puede reintegrarse a partir de las componentes ergodicas del fibrado.  en dinamica singular se profundiza en la relacion existente entre las estructuras medible y topologica del flujo y se analizan algunos aspectos relativos a las propiedades de oscilacion y recurrencia de las soluciones. Demostramos que la region de oscilacion en los extremos cuando el fibrado proyectivo admite una 2-lamina medible, es un subconjunto borel, invariante de medida uno.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Dinamicas absolutamente continua y singular en sistemas lineales bidimensionales.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Dinamicas absolutamente continua y singular en sistemas lineales bidimensionales. <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Alonso De Mena Ana Isabel <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Valladolid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1997<\/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>Rafael Obaya Garcia<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Felix Lopez Fernandez-asenjo <\/li>\n<li> Sanz Alix Miguel Angel (vocal)<\/li>\n<li>Jos\u00e9 Manuel Ferrandiz Leal (vocal)<\/li>\n<li>Jes\u00fas Rojo Garcia (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Alonso De Mena Ana Isabel Consideremos una familia de sistemas lineales bidimensionales cuyos coeficientes son funciones continuas [&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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