{"id":141304,"date":"2026-01-12T18:01:17","date_gmt":"2026-01-12T18:01:17","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/desarrollo-de-metodos-analiticos-y-numericos-para-el-estudio-de-osciladores-no-lineales-perturbados-periodicamente\/"},"modified":"2026-01-12T18:01:17","modified_gmt":"2026-01-12T18:01:17","slug":"desarrollo-de-metodos-analiticos-y-numericos-para-el-estudio-de-osciladores-no-lineales-perturbados-periodicamente","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/desarrollo-de-metodos-analiticos-y-numericos-para-el-estudio-de-osciladores-no-lineales-perturbados-periodicamente\/","title":{"rendered":"Desarrollo de metodos analiticos y numericos para el estudio de osciladores no lineales perturbados periodicamente"},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Jimenez Olivo Pedro Jose <\/strong><\/h2>\n<p>El trabajo realizado en esta tesis se centra en el estudio de una clase de osciladores no lineales perturbados periodicamente que contiene, como caso particular, a los de tipo duffing. Para efectuar dicho estudio desarrollamos metodos analiticos y numericos con el objetivo de hacer un analisis tanto cuantitativo como cualitativo de las soluciones periodicas y, de ahi, poder predecir los comportamientos caoticos de nuestros osciladores. En el caso de los de tipo duffing tambien hemos deducido condiciones para que se produzca la ruptura de simetria de la solucion armonica y su relacion con tales comportamientos.  en el tratamiento analitico hemos formalizado el metodo de la lagrangiana promediada demostrando su equiValencia con el del balance armonico. Asi mismo hemos deducido las condiciones de estabilidad de las diferentes soluciones armonicas. Respecto a los metodos numericos hemos desarrollado dos algoritmos denominados: algoritmo combinado y metodo rapido de galerkin, y cuya validez se ha contrastado en las aplicaciones realizadas.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Desarrollo de metodos analiticos y numericos para el estudio de osciladores no lineales perturbados periodicamente<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Desarrollo de metodos analiticos y numericos para el estudio de osciladores no lineales perturbados periodicamente <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Jimenez Olivo Pedro Jose <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Polit\u00e9cnica de Valencia<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1992<\/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>Gumersindo Verdu Martin<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Manuel L\u00f3pez Pellicer <\/li>\n<li>Juan Pe\u00f1a Miralles (vocal)<\/li>\n<li>Jos\u00e9 Ros Pallares (vocal)<\/li>\n<li>Miguel Angel Rodriguez  Diaz (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Jimenez Olivo Pedro Jose El trabajo realizado en esta tesis se centra en el estudio de 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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