{"id":12229,"date":"2018-03-09T08:57:59","date_gmt":"2018-03-09T08:57:59","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/contribution-to-the-study-of-fourier-methods-for-quasi-periodic-functions-and-the-vicinity-of-the-libration-points\/"},"modified":"2018-03-09T08:57:59","modified_gmt":"2018-03-09T08:57:59","slug":"contribution-to-the-study-of-fourier-methods-for-quasi-periodic-functions-and-the-vicinity-of-the-libration-points","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/contribution-to-the-study-of-fourier-methods-for-quasi-periodic-functions-and-the-vicinity-of-the-libration-points\/","title":{"rendered":"Contribution to the study of fourier methods for quasi-periodic functions and the vicinity of the libration points"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Jos\u00e9 M. Mondelo Gonz\u00e1lez <\/strong><\/h2>\n<p>La tesis consta de dos partes. La primera est\u00e1 dedicada al desarrollo y estudio de un procedimiento para el c\u00e1lculo preciso de frecuencias y amplitudes de una funci\u00f3n cuasiperi\u00f3dica, a partir de un muestreo equiespaciado sobre un intervalo de tiempo finito. Se desarrollan estimaciones del error para el procedimiento introducido, que se ilustran con ejemplos num\u00e9ricos. el procedimiento se aplica al desarrollo de modelos simplificados de movimiento en el sistema solar, basados en an\u00e1lisis de frecuencias de las efem\u00e9rides num\u00e9ricas del jet propulsion laboratory (jpl).  en la segunda parte se estudia el entorno de los punto de libraci\u00f3n colineales del problema restringido de tres cuerpos. Se prolonga la variedad central de estos puntos de equilibrio hasta donde es computacionalmente posible, mediante el calculo de las familias de \u00f3rbitas peri\u00f3dicas y toros invariantes que contiene, usando herramientas puramente num\u00e9ricas. Se detecta nueva fenomenolog\u00eda, relacionada con bifurcaciones de las familias de \u00f3rbitas peri\u00f3dicas de tipo halo. Debido a los grandes requerimientos de c\u00e1lculo, algunos algoritmos han sido paralelizados.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Contribution to the study of fourier methods for quasi-periodic functions and the vicinity of the libration points<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Contribution to the study of fourier methods for quasi-periodic functions and the vicinity of the libration points <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Jos\u00e9 M. Mondelo Gonz\u00e1lez <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Barcelona<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 13\/07\/2001<\/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>Gerard G\u00f3mez Muntan\u00e9<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: carles Sim\u00f3 torres <\/li>\n<li>amadeu Delshams vald\u00e9s (vocal)<\/li>\n<li>Jos\u00e9 Rodr\u00edguez canabal (vocal)<\/li>\n<li>josep joaquim Masdemont soler (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Jos\u00e9 M. Mondelo Gonz\u00e1lez La tesis consta de dos partes. La primera est\u00e1 dedicada al desarrollo y [&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":[15062,3183,951,126],"tags":[35306,1196,40036,40035,40037,40038],"class_list":["post-12229","post","type-post","status-publish","format-standard","hentry","category-analisis-global","category-analisis-y-analisis-funcional","category-barcelona","category-matematicas","tag-amadeu-delshams-valdes","tag-carles-simo-torres","tag-gerard-gomez-muntane","tag-jose-m-mondelo-gonzalez","tag-jose-rodriguez-canabal","tag-josep-joaquim-masdemont-soler"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/12229","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=12229"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/12229\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=12229"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=12229"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=12229"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}