{"id":75380,"date":"2005-05-07T00:00:00","date_gmt":"2005-05-07T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/caracterizacion-topologica-de-conjuntos-omega-la%c2%admite-sobre-variedades\/"},"modified":"2005-05-07T00:00:00","modified_gmt":"2005-05-07T00:00:00","slug":"caracterizacion-topologica-de-conjuntos-omega-la%c2%admite-sobre-variedades","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/caracterizacion-topologica-de-conjuntos-omega-la%c2%admite-sobre-variedades\/","title":{"rendered":"Caracterizaci\u00f3n topol\u00f3gica de conjuntos omega l\u00edmite sobre variedades"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Gabriel Soler L\u00f3pez <\/strong><\/h2>\n<p>Esta tesis  doctoral consta de una introducci\u00f3n en espa\u00f1ol, una introducci\u00f3n en ingl\u00e9s y cinco cap\u00edtulos: uno de definiciones b\u00e1sicas y planteamiento del problema por estudiar y cuatro dedicados al estudio espec\u00edfico de los conjuntos omega l\u00edmites sobre variedades. La divisi\u00f3n entre estos cap\u00edtulos obedece a la diferencia entre espacios de fases estudiados (superficies o variedades) o a la naturaleza de la \u00f3rbita que genera el conjunto omega l\u00edmite (no recurrentes, recurrentes generando omega l\u00edmites con interior vac\u00edo o recurrentes generando omega l\u00edmites con interior no vac\u00edo).  el problema estudiado es la caracterizaci\u00f3n topol\u00f3gica de los conjuntos omega l\u00edmites de sistemas din\u00e1micos continuos o dicho de otro modo, el estudio asint\u00f3tico de las \u00f3rbitas de un sistema din\u00e1mico continuo. Problema que supone la generalizaci\u00f3n del teorema de vinograd. Se describe a continuaci\u00f3n brevemente el contenido por cap\u00edtulos.  en el cap\u00edtulo 1 se justifica el estudio de la noci\u00f3n abstracta de flujo local sobre variedades puesto que \u00e9stos derivan (cuando la variedad no tiene frontera combinatoria) de la soluci\u00f3n de ecuaciones diferenciales. se demuestra que cualquier flujo local sobre una variedad es equivalente un flujo global y en consecuencia a partir de entonces se estudia s\u00f3lo la estructura asint\u00f3tica de los flujos (globales). Se acaba el cap\u00edtulo introduciendo la notaci\u00f3n necesaria que se utiliza en el resto de la tesis.  en el cap\u00edtulo 2 el autor estudia exclusivamente los conjuntos omega l\u00edmites de \u00f3rbitas no recurrentes para flujos definidos sobre superficies compactas y conexas. Puesto que en la botella de klein y en el plano proyectivo no existen \u00f3rbitas recurrentes salvo las triviales, se presentan resultados alternativos al recogido para superficies compactas y conexas en general.  en el  cap\u00edtulo 3 se da una caracterizaci\u00f3n topol\u00f3gica de los conjuntos omega l\u00edmites con interior vac\u00edo de \u00f3rbita<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Caracterizaci\u00f3n topol\u00f3gica de conjuntos omega l\u00edmite sobre variedades<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Caracterizaci\u00f3n topol\u00f3gica de conjuntos omega l\u00edmite sobre variedades <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Gabriel Soler L\u00f3pez <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Murcia<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 05\/07\/2005<\/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>Victor Manuel Jimenez Lopez<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: jaume Llibre salo <\/li>\n<li>yuri Egorov (vocal)<\/li>\n<li>Francisco Balibrea gallego (vocal)<\/li>\n<li>Rafael Ortega r\u00edos (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Gabriel Soler L\u00f3pez Esta tesis doctoral consta de una introducci\u00f3n en espa\u00f1ol, una introducci\u00f3n en ingl\u00e9s y [&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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