{"id":34109,"date":"1998-01-01T00:00:00","date_gmt":"1998-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/metodos-simples-para-el-analisis-de-puntos-degenerados-de-sistemas-analiticos-planos\/"},"modified":"1998-01-01T00:00:00","modified_gmt":"1998-01-01T00:00:00","slug":"metodos-simples-para-el-analisis-de-puntos-degenerados-de-sistemas-analiticos-planos","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/metodos-simples-para-el-analisis-de-puntos-degenerados-de-sistemas-analiticos-planos\/","title":{"rendered":"Metodos simples para el analisis de puntos degenerados de sistemas analiticos planos."},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Aranda Iriarte Jos\u00e9 Ignacio <\/strong><\/h2>\n<p>Se presenta un m\u00e9todo directo y sistem\u00e1tico para analizar el origen y el infinito de un sistema anal\u00edtico plano.  en general, se utilizan adecuados cambios de variable o \u00abblow-ups\u00bb, para reducir un punto elemental que no sea centro o foco a otros en los que, a lo m\u00e1s, uno de los autovalores de la aproximaci\u00f3n lineal del sistema es cero, y posteriormente se estudia el flujo sobre las variedades estable, inestable y centro.  en los m\u00e9todos desarrollados (sin realizar ning\u00fan cambio de variable), el objetivo es localizar y orientar las variedades que llegan al origen, y precisar si el sector entre dos variedades consecutivas es parab\u00f3lico, el\u00edptico o hiperb\u00f3lico. En algunos casos, es suficiente con considerar la aproximaci\u00f3n homog\u00e9nea. Cuando esto no es suficiente, se utiliza la poligonal de newton. Es de resaltar que todo el procedimiento es an\u00e1logo para el origen y para el infinito.  en el caso de que no haya variedades que lleguen al origen, se trata de distinguir entre centro y foco: en unos casos mediante la aproximaci\u00f3n lineal (u homog\u00e9nea), y cuando esto no sea suficiente nuevamente se recurre a la poligonal de newton.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Metodos simples para el analisis de puntos degenerados de sistemas analiticos planos.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Metodos simples para el analisis de puntos degenerados de sistemas analiticos planos. <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Aranda Iriarte Jos\u00e9 Ignacio <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Complutense de Madrid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1998<\/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>Jes\u00fas Esquinas Candenas<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Jos\u00e9 Manuel Vegas Montaner <\/li>\n<li> Sabina De Lis Jos\u00e9 Claudio (vocal)<\/li>\n<li>Carlos Fernandez Perez (vocal)<\/li>\n<li> Vazquez Suarez Juan  Luis (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Aranda Iriarte Jos\u00e9 Ignacio Se presenta un m\u00e9todo directo y sistem\u00e1tico para analizar el origen y el [&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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