{"id":84933,"date":"2000-09-06T00:00:00","date_gmt":"2000-09-06T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/contribution-to-the-qualitative-study-of-planar-vector-fields\/"},"modified":"2000-09-06T00:00:00","modified_gmt":"2000-09-06T00:00:00","slug":"contribution-to-the-qualitative-study-of-planar-vector-fields","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/contribution-to-the-qualitative-study-of-planar-vector-fields\/","title":{"rendered":"Contribution to the qualitative study of planar vector fields"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Isaac Antonio Garcia Rodriguez <\/strong><\/h2>\n<p>Una vez obtenida una clasificaci\u00f3n afin de todos los sistemas cuadraticos con una cubica invariante se muestra que solo hay dos tipos de tales sistemas que pueden tener ciclos limite. Finalmente se presentan algunos criterios para la existencia y unicidad de ciclos limite.  por otra parte, se analiza la relaci\u00f3n existente entre los sistemas polinomiales planos, su integrabilidad polinomial o racional, sus puntos criticos y la existencia de generadores infinitesimales de una simetria de lie. Se obtienen algoritmos para callcular dichas simetrias y se aplican el problema del centro. Este problema es resuelto para campos vectoriales cuarticos con velocidad angular constante.  finalmente se estudia el problema de la isocron\u00eda en sistemas c\u00fabicos reversibles, obteniendo una clasificaci\u00f3n en algunos casos particulares.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Contribution to the qualitative study of planar vector fields<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Contribution to the qualitative study of planar vector fields <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Isaac Antonio Garcia Rodriguez <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Aut\u00f3noma de barcelona<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 09\/06\/2000<\/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>Javier Chavarriga Soriano<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: emilio Freire <\/li>\n<li>colin Christopher (vocal)<\/li>\n<li>armengol Gasull embid (vocal)<\/li>\n<li>jaume Gine (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Isaac Antonio Garcia Rodriguez Una vez obtenida una clasificaci\u00f3n afin de todos los sistemas cuadraticos con una [&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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