{"id":85304,"date":"2018-03-10T00:09:45","date_gmt":"2018-03-10T00:09:45","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/ecuaciones-diferenciales-linealmente-implicitas-teoria-cualitativa-aspectos-computacionales-y-aplicaciones\/"},"modified":"2018-03-10T00:09:45","modified_gmt":"2018-03-10T00:09:45","slug":"ecuaciones-diferenciales-linealmente-implicitas-teoria-cualitativa-aspectos-computacionales-y-aplicaciones","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/ecuaciones-diferenciales-linealmente-implicitas-teoria-cualitativa-aspectos-computacionales-y-aplicaciones\/","title":{"rendered":"Ecuaciones diferenciales linealmente implicitas: teoria cualitativa, aspectos computacionales y aplicaciones"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Ricardo Riaza Rodriguez <\/strong><\/h2>\n<p>La presente tesis doctoral analiza la din\u00e1mica de ciertos sistemas diferenciales, vinculados a diferentes problemas de determinaci\u00f3n de ra\u00edces, optimizaci\u00f3n y aprendizaje. El modelado en tiempo continuo conduce a un estudio de diversos aspectos cualitativos, ralacionados con las singularidades de sistemas linealmente impl\u00edcitos (o cuasilineales) y de ecuaciones algebraico-diferenciales (daes).  la orientaci\u00f3n cualitativa del trabajo motiva la utilizaci\u00f3n de t\u00e9cnicas celulares o de cell mapping en el estudio computacional global de los sistemas bajo consideraci\u00f3n. Dichas t\u00e9cnicas requieren una adecuaci\u00f3na las caracter\u00edsticas particulares de las ecuaciones linealmente impl\u00edcitas y, en particular, a la existencia de singularidades en este tipo de problemas.  el estudio cualitativo anteriormente referido una aproximaci\u00f3n sistem\u00e1tica a la formulaic\u00f3n de m\u00e9todos iterativos para la resoluci\u00f3n de ecuaciones algebraicas no lineales singulares. De esta forma, se vincula la teor\u00eda de sistemas din\u00e1micos con ciertos problemas de determinaci\u00f3n de ra\u00edces y optimizaci\u00f3n. Por otra parte, distintas propiedades cualitativas de las ecuaciones cuasilineales y algebraico-diferenciales resultan significativas en el modelado y la caracterizaci\u00f3n de procesos recurrentes de aprendizaje neuronal, formalizados en el \u00e1mbito de los sitemas singularmente perturbados.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Ecuaciones diferenciales linealmente implicitas: teoria cualitativa, aspectos computacionales y aplicaciones<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Ecuaciones diferenciales linealmente implicitas: teoria cualitativa, aspectos computacionales y aplicaciones <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Ricardo Riaza Rodriguez <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Polit\u00e9cnica de Madrid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 26\/06\/2000<\/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>Pedro Jose Zufiria Zatarain<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Carlos Vega vicente <\/li>\n<li>Jos\u00e9 Manuel Vegas montaner (vocal)<\/li>\n<li>l. Campbell stephen (vocal)<\/li>\n<li>Rafael Ortega rios (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Ricardo Riaza Rodriguez La presente tesis doctoral analiza la din\u00e1mica de ciertos sistemas diferenciales, vinculados a diferentes [&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":[1191,3183,12585,42614,126,16008,16115,12647],"tags":[16170,42948,179697,68196,32613,168716],"class_list":["post-85304","post","type-post","status-publish","format-standard","hentry","category-analisis-numerico","category-analisis-y-analisis-funcional","category-ecuaciones-diferenciales-ordinarias","category-ecuaciones-en-diferencias","category-matematicas","category-politecnica-de-madrid","category-resolucion-de-ecuaciones-diferenciales-ordinarias","category-teoria-de-la-aproximacion","tag-carlos-vega-vicente","tag-jose-manuel-vegas-montaner","tag-l-campbell-stephen","tag-pedro-jose-zufiria-zatarain","tag-rafael-ortega-rios","tag-ricardo-riaza-rodriguez"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/85304","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=85304"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/85304\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=85304"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=85304"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=85304"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}