{"id":852,"date":"2017-12-12T13:25:59","date_gmt":"2017-12-12T18:25:59","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/matg1013\/?p=852"},"modified":"2026-04-05T05:51:40","modified_gmt":"2026-04-05T10:51:40","slug":"2eva2012ti_t2-edo-modelo-clima-xyz","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/algoritmos101\/mn-2eva20\/2eva2012ti_t2-edo-modelo-clima-xyz\/","title":{"rendered":"2Eva2012TI_T2 EDO Modelo de clima x,y,z"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">2da Evaluaci\u00f3n I T\u00e9rmino 2012-2013. 28\/Agosto\/2012. ICM00158<\/h2>\n\n\n\n<p><strong>Tema 2<\/strong>. (20 puntos) El meteor\u00f3logo Edward Lorenz propuso inicialmente el siguiente sistema para predecir el comportamiento del clima:<\/p>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> \\begin{cases} x'(t) = \\alpha (y(t) - x(t)) \\\\ y'(t) = \\rho x(t) - y(t) - x(t) z(t) \\\\ z'(t) = -\\beta z(t) + x(t) y(t) \\end{cases} <\/span>\n\n\n\n<p>Para su estudio eligi\u00f3 los par\u00e1metros <strong>\u03b1<\/strong> = 10,&nbsp;<strong>\u03b2<\/strong> = 8\/3 , <strong>\u03c1<\/strong>=28 con las condiciones iniciales <strong>x<\/strong>(0) = 10, <strong>y<\/strong>(0) = 7, <strong>z<\/strong>(0) = 7<\/p>\n\n\n\n<p>Use el m\u00e9todo de Runge-Kutta cl\u00e1sico de cuarto orden con <strong>h<\/strong> = 0.25 para calcular la soluci\u00f3n cuando <strong>t<\/strong>=1<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\" \/>\n\n\n\n<p><em><strong>Referencia<\/strong><\/em>: Chapra 28.2 p833 pdf857<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"490\" height=\"340\" src=\"http:\/\/blog.espol.edu.ec\/algoritmos101\/files\/2017\/12\/pronosticoClima01.png\" alt=\"pron\u00f3stico Clima\" class=\"wp-image-17353\" \/><\/figure>\n\n\n\n<p>&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"200\" height=\"200\" src=\"http:\/\/blog.espol.edu.ec\/algoritmos101\/files\/2017\/12\/A_Trajectory_Through_Phase_Space_in_a_Lorenz_Attractor.gif\" alt=\"A Trajectory Through Phase_Space in a Lorenz_Attractor\" class=\"wp-image-17354\" \/><\/figure>\n\n\n\n<p><a href=\"https:\/\/en.wikipedia.org\/wiki\/Lorenz_system\">https:\/\/en.wikipedia.org\/wiki\/Lorenz_system<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>2da Evaluaci\u00f3n I T\u00e9rmino 2012-2013. 28\/Agosto\/2012. ICM00158 Tema 2. (20 puntos) El meteor\u00f3logo Edward Lorenz propuso inicialmente el siguiente sistema para predecir el comportamiento del clima: Para su estudio eligi\u00f3 los par\u00e1metros \u03b1 = 10,&nbsp;\u03b2 = 8\/3 , \u03c1=28 con las condiciones iniciales x(0) = 10, y(0) = 7, z(0) = 7 Use el m\u00e9todo [&hellip;]<\/p>\n","protected":false},"author":8043,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"wp-custom-template-entrada-mn","format":"standard","meta":{"footnotes":""},"categories":[20],"tags":[56],"class_list":["post-852","post","type-post","status-publish","format-standard","hentry","category-mn-2eva20","tag-edo"],"_links":{"self":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/852","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/users\/8043"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/comments?post=852"}],"version-history":[{"count":3,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/852\/revisions"}],"predecessor-version":[{"id":17355,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/852\/revisions\/17355"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/media?parent=852"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/categories?post=852"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/tags?post=852"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}