{"id":14312,"date":"2001-05-12T00:00:00","date_gmt":"2001-05-12T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/aspectos-geometricos-numericos-y-de-control-de-sistemas-noholonomos\/"},"modified":"2001-05-12T00:00:00","modified_gmt":"2001-05-12T00:00:00","slug":"aspectos-geometricos-numericos-y-de-control-de-sistemas-noholonomos","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/aspectos-geometricos-numericos-y-de-control-de-sistemas-noholonomos\/","title":{"rendered":"Aspectos geom\u00e9tricos, num\u00e9ricos y de control de sistemas nohol\u00f3nomos"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Jorge Cortes Monforte <\/strong><\/h2>\n<p>Se estudia la reducci\u00f3n de la din\u00e1mica, el dise\u00f1o de nuevos m\u00e9todos num\u00e9ricos y algunos problemas de control como la controlabilidad y expansiones en serie describiendo la evoluci\u00f3n para los sistemas nohol\u00f3nomos.  se desarrolla una formulaci\u00f3n casi-poisson de la reducci\u00f3n y reconstrucci\u00f3n de la din\u00e1mica por los sistemas nohol\u00f3nomos con simetr\u00eda. Estos resultados son instrumentales en nuestro estudio de sistemas de chaplygin, donde derivamos una condici\u00f3n necesaria y suficiente para la existencia de una medida invariante para la din\u00e1mica reducida. Esta condici\u00f3n nos permite refutar una conjetura de koiller por medio de un sencillo contraejemplo.  se analiza la din\u00e1mica de estos sistemas u el establecimiento de una f\u00f3rmula de salto del momento para los puntos de cambio.  la contribuci\u00f3n principal es la propuesta de los integradores nohol\u00f3nomos. estos nuevos algoritmos disfrutan de las mismas propiedades geom\u00e9tricas que su contrapartida continua con respecto a la forma simpl\u00e9ctica, la aplicaci\u00f3n momento y el proceso de reducci\u00f3n de la din\u00e1mica.  se presentan dos contribuciones relevantes: se caracteriza la controlabilidad en las configuraciones para los sistemas de control mec\u00e1nicos infra-actuados por un control y extendemos a sistemas con disipaci\u00f3n isotr\u00f3pica resultados previso en el an\u00e1lisis de contrabilidad y expansi\u00f3n en serie.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Aspectos geom\u00e9tricos, num\u00e9ricos y de control de sistemas nohol\u00f3nomos<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Aspectos geom\u00e9tricos, num\u00e9ricos y de control de sistemas nohol\u00f3nomos <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Jorge Cortes Monforte <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Carlos III de Madrid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 05\/12\/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>Manuel De Le\u00f3n Rodr\u00edguez<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: alberto Ibort latre <\/li>\n<li>ildefonso D\u00edaz d\u00edaz (vocal)<\/li>\n<li>frans Cantrijn (vocal)<\/li>\n<li>Miguel Carlos Mu\u00f1oz lecanda (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Jorge Cortes Monforte Se estudia la reducci\u00f3n de la din\u00e1mica, el dise\u00f1o de nuevos m\u00e9todos num\u00e9ricos 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 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