{"id":138272,"date":"2026-01-12T17:34:02","date_gmt":"2026-01-12T17:34:02","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/estudios-de-sistemas-dinamicos-mediante-la-reduccion-de-su-dimension\/"},"modified":"2026-01-12T17:34:02","modified_gmt":"2026-01-12T17:34:02","slug":"estudios-de-sistemas-dinamicos-mediante-la-reduccion-de-su-dimension","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/estudios-de-sistemas-dinamicos-mediante-la-reduccion-de-su-dimension\/","title":{"rendered":"Estudios de sistemas dinamicos mediante la reduccion de su dimension"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Miquel Bosch Gual <\/strong><\/h2>\n<p>Este trabajo contine tres estudios independientes de aplicaciones bidimensionales mediante aproximaciones unidimensionales. En el primer capitulo se extienden las siguientes propiedades de aplicaciones unidimensionales a bidimensionales de un tipo especial: puntos periodicos y su estabilidad, bifurcaciones de codimension 1, teorema de hartman-grobman, variedades invariantes y puntos homoclinicos transversales.  en el capitulo 2 se estudia un sistema 3 e.D.O. Que modeliza un circuito electronico; es lineal a trozos, con 2 parametros y corresponde a un problema de perturbacion singular. El caso singular se estudia mediante una aplicacion de poincare unidimensional que tiene una cantidad numerable de discontinuidades. Mediante un metodo de continuacion, se obtienen curvas de bifurcacion silla nodo del sistema no degenerado y se estudian secuencias de puntos cuspidales que aparecen en ellas.  en el tercer capitulo se estudian los atractores de una familia de difeomorfismos definidos sobre dos coronas circulares, que sirven de modelo de un cierto dispositivo optico. Se recuperan y amplian los resultados experimentales, donde el atractor era, o bien una orbita periodica, o bien un atractor extra\u00f1o (\u00abgrande\u00bb o \u00abpeque\u00f1o\u00bb). Despues se razona la reduccion a un modelo aun mas simple:  aplicacion de la circunferencia. Su estudio permite justificar y aumentar los resultados del caso bidimensional.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Estudios de sistemas dinamicos mediante la reduccion de su dimension<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Estudios de sistemas dinamicos mediante la reduccion de su dimension <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Miquel Bosch Gual <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Barcelona<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1992<\/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: Gerard Gomez Muntane <\/li>\n<li>LLuis Alseda Soler (vocal)<\/li>\n<li>Carles Bonet Rev\u00e9s (vocal)<\/li>\n<li>Armengol Gasull Embid (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Miquel Bosch Gual Este trabajo contine tres estudios independientes de aplicaciones bidimensionales mediante aproximaciones unidimensionales. En el [&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 center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"footnotes":""},"categories":[15062,3183,951,12585,126],"tags":[29387,179309,1196,40036,69747,252796],"class_list":["post-138272","post","type-post","status-publish","format-standard","hentry","category-analisis-global","category-analisis-y-analisis-funcional","category-barcelona","category-ecuaciones-diferenciales-ordinarias","category-matematicas","tag-armengol-gasull-embid","tag-carles-bonet-reves","tag-carles-simo-torres","tag-gerard-gomez-muntane","tag-lluis-alseda-soler","tag-miquel-bosch-gual"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/138272","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/comments?post=138272"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/138272\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=138272"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=138272"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=138272"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}