{"id":35483,"date":"1998-01-01T00:00:00","date_gmt":"1998-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/comportamiento-dinamico-de-osciladores-electronicos-del-tipo-van-der-pol-duffing\/"},"modified":"1998-01-01T00:00:00","modified_gmt":"1998-01-01T00:00:00","slug":"comportamiento-dinamico-de-osciladores-electronicos-del-tipo-van-der-pol-duffing","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/comportamiento-dinamico-de-osciladores-electronicos-del-tipo-van-der-pol-duffing\/","title":{"rendered":"Comportamiento dinamico de osciladores electronicos del tipo van der pol-duffing."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Francisco Rodrigo Mu\u00f1oz <\/strong><\/h2>\n<p>Los osciladores bidimensionales no lineales del tipo rayleigh-van der pol con la no linealidad en forma de polinomio c\u00fabico introducida por duffing, han sido objeto de amplio estudio, hasta el punto que el oscilador de van der pol aparece como uno de los m\u00e1s referenciados en la literatura.  en esta tesis, retomamos su estudio en una l\u00ednea iniciada por andronov en los a\u00f1os 30, consistente en modelar la no linealidad mediante funciones lineales a trozos, y de la que apenas si existen trabajos desde entonces. Se han estudiado el comportamiento din\u00e1mico y de bifurcaciones de sistemas planos lineales a trozos con una o dos fronteras, en este \u00faltimo caso con simetr\u00eda, estableci\u00e9ndose formas can\u00f3nicas de los mismos y demostr\u00e1ndose la existencia, y en su caso la unicidad de ciclos l\u00edmite, conexiones homoclinas y heteroclinas y sillas-nodo de \u00f3rbitas peri\u00f3dicas.  por \u00faltimo se ha aplicado la teor\u00eda a determinados osciladores electr\u00f3nicos confirmando y explicando comportamientos conocidos y pronosticando otros nuevos.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Comportamiento dinamico de osciladores electronicos del tipo van der pol-duffing.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Comportamiento dinamico de osciladores electronicos del tipo van der pol-duffing. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Francisco Rodrigo Mu\u00f1oz <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Sevilla<\/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>Emilio Freire Mac\u00edas<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Jaume Llibre Salo <\/li>\n<li>Angel Rodriguez Vazquez (vocal)<\/li>\n<li>Luis L\u00f3pez Bonilla (vocal)<\/li>\n<li>Enrique Ponce Nu\u00f1ez (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Francisco Rodrigo Mu\u00f1oz Los osciladores bidimensionales no lineales del tipo rayleigh-van der pol con la no linealidad [&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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