{"id":66780,"date":"2008-05-09T00:00:00","date_gmt":"2008-05-09T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/integrabne-polynomial-differential-systems-and-their-perturbations\/"},"modified":"2008-05-09T00:00:00","modified_gmt":"2008-05-09T00:00:00","slug":"integrabne-polynomial-differential-systems-and-their-perturbations","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/integrabne-polynomial-differential-systems-and-their-perturbations\/","title":{"rendered":"Integrab\u00f1e `polynomial differential systems and their perturbations"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Adam Mahdi <\/strong><\/h2>\n<p>La memoria consta de 6 cap\u00edtulos y complementada con una introducci\u00f3n y una bibliograf\u00eda. En la introducci\u00f3n se da un peque\u00f1o resumen de la memoria presentando los principales resultados y los trabajos. en el cap\u00edtulo 2 se dan cotas inferiores al n\u00famero m\u00e1ximo de ciclos l\u00edmite que pueden bifurcar de las \u00f3rbitas peri\u00f3dicas de los centros is\u00f3cronos de ciertas familias de sistemas diferenciales polinomiales c\u00fabicos cuando son perturbados dentro de la clase de todos los sistemas polinomiales c\u00fabicos.  en el cap\u00edtulo 3 damos todos los retratos de fase topol\u00f3gicamente distintos de los sistemas polinomiales c\u00fabicos nodegenerados que poseen una integral primera racional de grado 2. Tambi\u00e9n se estudia una posible configuraci\u00f3n de rectas invariantes. En cap\u00edtulo 4 generalizamos resultados del cap\u00edtulo 4 dando retratos de fase de todos los sistemas polinomiales topol\u00f3gicamente distintos cuyas \u00f3rbitas peri\u00f3dicas contenidas en c\u00f3nicas. en cap\u00edtulo 5 damos un ejemplo de un sistema polinomial con una integral primera racional que no posee un inverso de factor integrante polinomial. Tambi\u00e9n demostramos que si el sistema polinomial tiene una integral primera polinomial tambi\u00e9n tiene un inverso de factor integrante polinomial. En el cap\u00edtulo 6, \u00faltimo de la menoria, se resuelve el problema del n\u00famero de puntos singulares de la proyecci\u00f3n radial de un campo de vectores de r^3 en la esfera s^2. La soluci\u00f3n a este problema es el primer paso para resolver otro problema abierto enunciado en el mismo cap\u00edtulo.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Integrab\u00f1e `polynomial differential systems and their perturbations<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Integrab\u00f1e `polynomial differential systems and their perturbations <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Adam Mahdi <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Aut\u00f3noma de barcelona<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 05\/09\/2008<\/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>Jaume Llibre<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: armengol Gasull embid <\/li>\n<li>jaume Gine (vocal)<\/li>\n<li>enrique Ponce (vocal)<\/li>\n<li>chara Pantazi (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Adam Mahdi La memoria consta de 6 cap\u00edtulos y complementada con una introducci\u00f3n y una bibliograf\u00eda. En [&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":[126],"tags":[147096,29387,147099,147098,147097,88276],"class_list":["post-66780","post","type-post","status-publish","format-standard","hentry","category-matematicas","tag-adam-mahdi","tag-armengol-gasull-embid","tag-chara-pantazi","tag-enrique-ponce","tag-jaume-gine","tag-jaume-llibre"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/66780","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=66780"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/66780\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=66780"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=66780"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=66780"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}