{"id":156491,"date":"2026-01-12T17:30:09","date_gmt":"2026-01-12T17:30:09","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/computacion-simbolica-y-bifurcaciones-de-sistemas-dinamicos\/"},"modified":"2026-01-12T17:30:09","modified_gmt":"2026-01-12T17:30:09","slug":"computacion-simbolica-y-bifurcaciones-de-sistemas-dinamicos","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/computacion-simbolica-y-bifurcaciones-de-sistemas-dinamicos\/","title":{"rendered":"Computacion simbolica y bifurcaciones de sistemas dinamicos."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Estanislao Gamero Gutierrez <\/strong><\/h2>\n<p>Como principal objetivo, nos planteamos en esta tesis doctoral el desarrollo de algoritmos eficientes para la computacion simbolica de variedades de centros y formas normales de forma que sea verdaderamente posible su uso en problemas de cierta relevancia. Asi, en el capitulo iii planteamos el calculo de variedades de centros y obtenemos un esquema recursivo gracias al uso de las transformaciones de lie. En el capitulo v consideramos el problema de obtener la forma normal de poincare para la bifurcacion de hopf. Mediante el esquema recursivo basado en las transformaciones de lie, ademas del uso de variables complejas, que permite ganar en eficiencia, hemos obtenido un algoritmo recursivo. El calculo de formas normales para sistemas planos y tridimensionales con degeneraciones lineales de codimension dos y tres es considerado en el capitulo v. En estos casos, el enfoque adoptado al contemplar las formas normales desde el punto de vista de las transformaciones de lie demuestra toda su potencialidad. Mostramos la posibilidad de obtener formas normales mas simples que las obtenidas tradicionalmente.  gran parte del trabajo desarrollado tiene su origen y motivacion en el estudio de la dinamica de un sistema electronico autonomo que es llevado a cabo en el capitulo vi.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Computacion simbolica y bifurcaciones de sistemas dinamicos.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Computacion simbolica y bifurcaciones de sistemas dinamicos. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Estanislao Gamero Gutierrez <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Sevilla<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1991<\/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>Emilio Freire Mac\u00edas<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Javier Aracil Santonja <\/li>\n<li>Antonio Quijada Jimeno (vocal)<\/li>\n<li>Pedro P\u00e9rez Carreras (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 Estanislao Gamero Gutierrez Como principal objetivo, nos planteamos en esta tesis doctoral el desarrollo de algoritmos eficientes [&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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