{"id":119997,"date":"2023-02-06T21:39:20","date_gmt":"2023-02-06T21:39:20","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/contribucion-al-estudio-de-los-ciclos-en-limites-en-el-plano\/"},"modified":"2023-02-06T21:39:20","modified_gmt":"2023-02-06T21:39:20","slug":"contribucion-al-estudio-de-los-ciclos-en-limites-en-el-plano","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/contribucion-al-estudio-de-los-ciclos-en-limites-en-el-plano\/","title":{"rendered":"Contribucion al estudio de los ciclos en limites en el plano"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Javier Chavarriga Soriano <\/strong><\/h2>\n<p>En el presente trabajo se aborda el problema del numero de ciclos limites locales en un entorno del origen con parte lineal de tipo centro  asi como la determinacion de integrales primeras. De estas ecuaciones diferenciales en el plano. Se consideran sistemas de la forma x = -y+xs (x.Y)  y = x+ys (x.Y) siendo xs e ys polinomios homogeneos de grado s. En primer lugar se demuestra la imposibilidad de integrar el sistema mediante el conocimiento de soluciones particulares de las trayectorias del mismo a continuacion se establece la ecuacion recurrente que permite determinar los llamados coeficientes de liapunov  finalmente para s=2 y s=3 se determinan todos los coeficientes de liapunov  y se dan junto con sus integrales primeras  todos los casos posibles de integrabilidad<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Contribucion al estudio de los ciclos en limites en el plano<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Contribucion al estudio de los ciclos en limites en el plano <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Javier Chavarriga Soriano <\/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: Juan Auge Farreras <\/li>\n<li> Cascante Davila Joaquin Mar\u00eda (vocal)<\/li>\n<li>Carles Perello  I Valls (vocal)<\/li>\n<li>Jaume Llibre Salo (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Javier Chavarriga Soriano En el presente trabajo se aborda el problema del numero de ciclos limites locales [&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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