{"id":204,"date":"2019-12-12T00:42:34","date_gmt":"2019-12-12T04:42:34","guid":{"rendered":"http:\/\/personal.cmm.uchile.cl\/axosses\/?page_id=204"},"modified":"2019-12-20T09:01:48","modified_gmt":"2019-12-20T13:01:48","slug":"ode","status":"publish","type":"page","link":"https:\/\/personal.cmm.uchile.cl\/axosses\/teaching\/ode\/","title":{"rendered":"Ordinary Differential Equations"},"content":{"rendered":"<p>Link to official teaching material: <a href=\"https:\/\/docencia.dim.uchile.cl\/ecuaciones_dif\/\">Docencia DIM<\/a><\/p>\n<h3>Basic numerical software:<\/h3>\n<table border=\"0\" width=\"50%\" cellspacing=\"0\" cellpadding=\"0\">\n<colgroup>\n<col span=\"2\" width=\"50%\" \/> <\/colgroup>\n<tbody>\n<tr>\n<td width=\"50%\" height=\"140\"><a title=\"http:\/\/www.dim.uchile.cl\/~axosses\/Simul\/Mar_y_atmosfera.m\" href=\"http:\/\/www.dim.uchile.cl\/~axosses\/Simul\/Mar_y_atmosfera.m\"><img decoding=\"async\" class=\"aligncenter\" src=\"http:\/\/www.dim.uchile.cl\/~axosses\/Home\/Teaching_files\/Mar_y_atmosfera.jpg\" alt=\"\" \/><\/a><\/td>\n<td width=\"50%\"><a title=\"http:\/\/www.dim.uchile.cl\/~axosses\/Simul\/Efecto_mariposa.xls\" href=\"http:\/\/www.dim.uchile.cl\/~axosses\/Simul\/Efecto_mariposa.xls\"><img decoding=\"async\" src=\"http:\/\/www.dim.uchile.cl\/~axosses\/Home\/Teaching_files\/Efecto_mariposa.jpg\" alt=\"\" \/><\/a><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\" height=\"50\"><a href=\"http:\/\/www.dim.uchile.cl\/~axosses\/Simul\/Mar_y_atmosfera.m\">sea-atmosphere interaction<\/a><\/td>\n<td style=\"text-align: center;\"><a href=\"http:\/\/www.dim.uchile.cl\/~axosses\/Simul\/Efecto_mariposa.xls\">butterfly effect<\/a><\/td>\n<\/tr>\n<tr>\n<td height=\"140\"><a title=\"http:\/\/www.dim.uchile.cl\/~axosses\/Simul\/Logistico.m\" href=\"http:\/\/www.dim.uchile.cl\/~axosses\/Simul\/Logistico.m\"><img decoding=\"async\" class=\"aligncenter\" src=\"http:\/\/www.dim.uchile.cl\/~axosses\/Home\/Teaching_files\/Logistico.jpg\" alt=\"\" \/><\/a><\/td>\n<td><a title=\"http:\/\/www.dim.uchile.cl\/~axosses\/Simul\/Arbol_de_Feigenbaum.m\" href=\"http:\/\/www.dim.uchile.cl\/~axosses\/Simul\/Arbol_de_Feigenbaum.m\"><img decoding=\"async\" class=\"aligncenter\" src=\"http:\/\/www.dim.uchile.cl\/~axosses\/Home\/Teaching_files\/Arbol_de_Feigenbaum.jpg\" alt=\"\" \/><\/a><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\" height=\"50\"><a href=\"http:\/\/www.dim.uchile.cl\/~axosses\/Simul\/Logistico.m\">Logistic Model<\/a><\/td>\n<td style=\"text-align: center;\"><a href=\"http:\/\/www.dim.uchile.cl\/~axosses\/Simul\/Arbol_de_Feigenbaum.m\">Feigenbaum tree<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/p>\n<h3>Numerical simulations with animations:<\/h3>\n<table border=\"0\" width=\"50%\" cellspacing=\"0\" cellpadding=\"0\">\n<colgroup>\n<col span=\"2\" width=\"50%\" \/> <\/colgroup>\n<tbody>\n<tr>\n<td width=\"50%\" height=\"140\"><a href=\"http:\/\/www.dim.uchile.cl\/~axosses\/ODE_Simulation\/ODESimulation\/3_bodies.html\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-91 aligncenter\" src=\"http:\/\/personal.cmm.uchile.cl\/axosses\/wp-content\/uploads\/sites\/2\/2019\/12\/3cuerpos_parecidos.jpg\" alt=\"\" width=\"200\" height=\"183\" \/><\/a><\/td>\n<td width=\"50%\"><a href=\"http:\/\/www.dim.uchile.cl\/~axosses\/ODE_Simulation\/ODESimulation\/Lorenzs_wheel.html\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-92 aligncenter\" src=\"http:\/\/personal.cmm.uchile.cl\/axosses\/wp-content\/uploads\/sites\/2\/2019\/12\/lorenzmio.jpg\" alt=\"\" width=\"200\" height=\"183\" \/><\/a><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\" height=\"50\"><a href=\"http:\/\/www.dim.uchile.cl\/~axosses\/ODE_Simulation\/ODESimulation\/3_bodies.html\">Planets and gravity<\/a><\/td>\n<td style=\"text-align: center;\"><a href=\"http:\/\/www.dim.uchile.cl\/~axosses\/ODE_Simulation\/ODESimulation\/Lorenzs_wheel.html\">Lorenz&#8217;s wheel<\/a><\/td>\n<\/tr>\n<tr>\n<td height=\"140\"><a href=\"http:\/\/www.dim.uchile.cl\/~axosses\/ODE_Simulation\/ODESimulation\/car_confort.html\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-93 aligncenter\" src=\"http:\/\/personal.cmm.uchile.cl\/axosses\/wp-content\/uploads\/sites\/2\/2019\/12\/car_confort_1.jpg\" alt=\"\" width=\"199\" height=\"185\" \/><\/a><\/td>\n<td><a href=\"http:\/\/www.dim.uchile.cl\/~axosses\/ODE_Simulation\/ODESimulation\/double_pendulum.html\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-94 aligncenter\" src=\"http:\/\/personal.cmm.uchile.cl\/axosses\/wp-content\/uploads\/sites\/2\/2019\/12\/pendulo_doble_control.jpg\" alt=\"\" width=\"200\" height=\"183\" \/><\/a><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\" height=\"50\"><a href=\"http:\/\/www.dim.uchile.cl\/~axosses\/ODE_Simulation\/ODESimulation\/car_confort.html\">Car confort<\/a><\/td>\n<td style=\"text-align: center;\"><a href=\"http:\/\/www.dim.uchile.cl\/~axosses\/ODE_Simulation\/ODESimulation\/double_pendulum.html\">Double pendulum<\/a><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\" height=\"140\"><a href=\"http:\/\/www.dim.uchile.cl\/~axosses\/ODE_Simulation\/ODESimulation\/gene_regulation.html\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-95\" src=\"http:\/\/personal.cmm.uchile.cl\/axosses\/wp-content\/uploads\/sites\/2\/2019\/12\/regulacion_gen.jpg\" alt=\"\" width=\"200\" height=\"183\" \/><\/a><\/td>\n<td style=\"text-align: center;\"><a href=\"http:\/\/www.dim.uchile.cl\/~axosses\/ODE_Simulation\/ODESimulation\/Jordans_form.html\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-97\" src=\"http:\/\/personal.cmm.uchile.cl\/axosses\/wp-content\/uploads\/sites\/2\/2019\/12\/n_estanques.jpg\" alt=\"\" width=\"200\" height=\"183\" \/><\/a><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\" height=\"50\"><a href=\"http:\/\/www.dim.uchile.cl\/~axosses\/ODE_Simulation\/ODESimulation\/gene_regulation.html\">Gene regulation<\/a><\/td>\n<td style=\"text-align: center;\"><a href=\"http:\/\/www.dim.uchile.cl\/~axosses\/ODE_Simulation\/ODESimulation\/Jordans_form.html\">Jordan&#8217;s form<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"<p>Link to official teaching material: Docencia DIM Basic numerical software: sea-atmosphere interaction butterfly effect Logistic Model Feigenbaum tree &nbsp; Numerical simulations with animations: Planets and gravity Lorenz&#8217;s wheel Car confort Double pendulum Gene regulation Jordan&#8217;s form<\/p>\n","protected":false},"author":5,"featured_media":0,"parent":23,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-204","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/personal.cmm.uchile.cl\/axosses\/wp-json\/wp\/v2\/pages\/204","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/personal.cmm.uchile.cl\/axosses\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/personal.cmm.uchile.cl\/axosses\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/personal.cmm.uchile.cl\/axosses\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/personal.cmm.uchile.cl\/axosses\/wp-json\/wp\/v2\/comments?post=204"}],"version-history":[{"count":8,"href":"https:\/\/personal.cmm.uchile.cl\/axosses\/wp-json\/wp\/v2\/pages\/204\/revisions"}],"predecessor-version":[{"id":300,"href":"https:\/\/personal.cmm.uchile.cl\/axosses\/wp-json\/wp\/v2\/pages\/204\/revisions\/300"}],"up":[{"embeddable":true,"href":"https:\/\/personal.cmm.uchile.cl\/axosses\/wp-json\/wp\/v2\/pages\/23"}],"wp:attachment":[{"href":"https:\/\/personal.cmm.uchile.cl\/axosses\/wp-json\/wp\/v2\/media?parent=204"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}