{"id":86696,"date":"2018-03-10T00:11:20","date_gmt":"2018-03-10T00:11:20","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/contribucion-al-estudio-de-la-estructura-interna-del-conjunto-de-mandelbrot-y-aplicaciones-en-criptografia\/"},"modified":"2018-03-10T00:11:20","modified_gmt":"2018-03-10T00:11:20","slug":"contribucion-al-estudio-de-la-estructura-interna-del-conjunto-de-mandelbrot-y-aplicaciones-en-criptografia","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/contribucion-al-estudio-de-la-estructura-interna-del-conjunto-de-mandelbrot-y-aplicaciones-en-criptografia\/","title":{"rendered":"Contribucion al estudio de la estructura interna del conjunto de mandelbrot y aplicaciones en criptografia"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Gonzalo Alvarez Mara\u00f1on <\/strong><\/h2>\n<p>El conjunto de mandelbrot suele proponerse como paradigma de los sistemas ca\u00f3ticos discretos. Sin embargo, los fen\u00f3nemos no lineales asociados a estos sistemas no son suficientemente comprendidos. En este trabajo se profundiza en el estudio de la estructura interna del conjunto de mandelbrot y se dan reglas para conocer el ordenamiento de sus componentes y la generaci\u00f3n de los mismos. En primer lugar, se estudian las propiedades y estructura interna del conjunto en una dimensi\u00f3n, para proceder posteriormente a su estudio en dos dimensiones. Tambien se efectua una revisi\u00f3n critica desde el punto de vista de la criptolog\u00eda de los criptosistemas ca\u00f3ticos m\u00e1s destacados de entre la gran variedad de sistemas propuestos recientemente en la literatura, apoyados en la suposici\u00f3n de que el caso carece de orden o estructura. Una vez estudiado el conjunto de mandelbrot, se encuentran varias aplicaciones de los resultados obtenidos en el criptoan\u00e1lisis de criptosistemas basados en caos, demostrando que en muchos casos el orden inherente al caos impide su uso satisfactorio en criptograf\u00eda.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Contribucion al estudio de la estructura interna del conjunto de mandelbrot y aplicaciones en criptografia<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Contribucion al estudio de la estructura interna del conjunto de mandelbrot y aplicaciones en criptografia <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Gonzalo Alvarez Mara\u00f1on <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Polit\u00e9cnica de Madrid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 29\/09\/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>Fausto Montoya Vitini<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Jorge D\u00e1vila muro <\/li>\n<li>gerardo Pastor degano (vocal)<\/li>\n<li>Alberto Peinado dom\u00ednguez (vocal)<\/li>\n<li> Fernandez sanJuan  Miguel angel (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Gonzalo Alvarez Mara\u00f1on El conjunto de mandelbrot suele proponerse como paradigma de los sistemas ca\u00f3ticos discretos. Sin [&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":[1890,332,12500,126,16008,10684,2489],"tags":[78354,57279,62392,48637,167793,73213],"class_list":["post-86696","post","type-post","status-publish","format-standard","hentry","category-ciencia-de-los-ordenadores","category-ciencias-tecnologicas","category-codigo-y-sistemas-de-codificacion","category-matematicas","category-politecnica-de-madrid","category-redes-de-comunicaciones","category-tecnologia-de-las-telecomunicaciones","tag-alberto-peinado-dominguez","tag-fausto-montoya-vitini","tag-fernandez-sanjuan-miguel-angel","tag-gerardo-pastor-degano","tag-gonzalo-alvarez-maranon","tag-jorge-davila-muro"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/86696","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=86696"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/86696\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=86696"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=86696"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=86696"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}