{"id":120003,"date":"2023-02-07T21:58:09","date_gmt":"2023-02-07T21:58:09","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/mesura-del-trencament-de-separatrius-en-families-de-difeomorfismes-amb-punts-hiperbolics\/"},"modified":"2023-02-07T21:58:09","modified_gmt":"2023-02-07T21:58:09","slug":"mesura-del-trencament-de-separatrius-en-families-de-difeomorfismes-amb-punts-hiperbolics","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/mesura-del-trencament-de-separatrius-en-families-de-difeomorfismes-amb-punts-hiperbolics\/","title":{"rendered":"Mesura del trencament de separatrius en families de difeomorfismes amb punts hiperbolics"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Ernest Fontich Julia <\/strong><\/h2>\n<p>Se consideran familias de difeomorfismos con un punto fijo parabolico para el valor cero del parametro y un punto fijo hiperbolico para valores mayores que cero  que tengan  en este caso  puntos homoclinicos asociados a las variedades invariantes del punto hiperbolico. Para estas familias se estudia la separacion maxima entre estas variedades en una region fijada  la cual da una medida cuantitativa de la falta de integrabilidad del difeomorfismo. En el caso diferenciable se obtiene que la separacion es del orden de una potencia adecuada del parametro (que se explicita). En el caso infinitamente diferenciable es del orden de cualquier potencia del parametro y en el caso analitico conservativo es menor que una funcion exponencialmente decreciente cuyos parametros se relacionan con singularidades complejas.  ademas se hace un estudio del comportamiento de las variedades invariantes de un punto fijo hiperbolico de difeomorfismos diferenciables cercanos a la identidad y se da un tratamiento uniforme de la forma normal de birkmoff alrededor de un punto fijo hiperbolico para familias de difeomorfismos conservativos analiticos que contengan la identidad.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Mesura del trencament de separatrius en families de difeomorfismes amb punts hiperbolics<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Mesura del trencament de separatrius en families de difeomorfismes amb punts hiperbolics <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Ernest Fontich Julia <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Barcelona<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1986<\/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>Carles Sim\u00f3 Torres<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Joan Llu\u00eds Cerd\u00ed\u00a0 Mart\u00edn <\/li>\n<li>Roberto Moriyon Salomon (vocal)<\/li>\n<li>Carles Perello  I Valls (vocal)<\/li>\n<li>Gerard Gomez Muntane (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Ernest Fontich Julia Se consideran familias de difeomorfismos con un punto fijo parabolico para el valor cero [&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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