{"id":129536,"date":"1996-01-01T00:00:00","date_gmt":"1996-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/clasificacion-topologica-de-campos-vectoriales-homogeneos-y-semihomogeneos-en-el-plano\/"},"modified":"1996-01-01T00:00:00","modified_gmt":"1996-01-01T00:00:00","slug":"clasificacion-topologica-de-campos-vectoriales-homogeneos-y-semihomogeneos-en-el-plano","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/clasificacion-topologica-de-campos-vectoriales-homogeneos-y-semihomogeneos-en-el-plano\/","title":{"rendered":"Clasificacion topologica de campos vectoriales homogeneos y semihomogeneos en el plano."},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Suarez Perez Del Rio Jes\u00fas <\/strong><\/h2>\n<p>Sea hm el espacio de los campos polinomiales homogeneos de grado m definidos en el plano. Se caracteriza el conjunto    de los campos vectoriales de hm que son estructuralmente estables respecto a perturbaciones en hm y se determina el numero de clases de equiValencia topologica en      . Esta caracterizacion permite probar una extension del teorema de hartman-grobman con la que es posible estudiar los puntos criticos de los campos analiticos en el plano con k-jet nulo para k&lt;m y tambien el comportamiento del flujo para campos polinomiales en el plano cerca del infinito, todo ello bajo ciertas condiciones genericas.  en el espacio hm,n de los campos polinomiales semihomogeneos se obtienen resultados del mismo tipo, pero localmente en un entorno del origen y en un entorno del infinito. La caracterizacion del conjunto de todos los campos semihomogeneos que son estructuralmente estables y su clasificacion global se encuentra con el problema de la existencia de orbitas periodicas. En la memoria se prueba que existen campos en hm,n que tienen al menos (m+n)\/2 ciclos limite. Tambien se caracteriza un subconjunto denso de hmn que esta formado por campos estructuralmente estables.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Clasificacion topologica de campos vectoriales homogeneos y semihomogeneos en el plano.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Clasificacion topologica de campos vectoriales homogeneos y semihomogeneos en el plano. <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Suarez Perez Del Rio Jes\u00fas <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Oviedo<\/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>Jos\u00e9 Angel Rodr\u00edguez M\u00e9ndez<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Alain Chenciner <\/li>\n<li>Fernando Costal Pereira (vocal)<\/li>\n<li>Jaume Llibre Salo (vocal)<\/li>\n<li> Gasull I Embid A. (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Suarez Perez Del Rio Jes\u00fas Sea hm el espacio de los campos polinomiales homogeneos de grado m [&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":[15062,3183,12585,126,8846],"tags":[242914,25553,242915,25416,25414,136628],"class_list":["post-129536","post","type-post","status-publish","format-standard","hentry","category-analisis-global","category-analisis-y-analisis-funcional","category-ecuaciones-diferenciales-ordinarias","category-matematicas","category-oviedo","tag-alain-chenciner","tag-fernando-costal-pereira","tag-gasull-i-embid-a","tag-jaume-llibre-salo","tag-jose-angel-rodriguez-mendez","tag-suarez-perez-del-rio-jesus"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/129536","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=129536"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/129536\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=129536"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=129536"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=129536"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}