{"id":35134,"date":"2023-03-09T22:49:33","date_gmt":"2023-03-10T03:49:33","guid":{"rendered":"https:\/\/niixer.com\/?p=35134"},"modified":"2023-03-14T14:35:10","modified_gmt":"2023-03-14T19:35:10","slug":"teoria-de-las-catastrofes","status":"publish","type":"post","link":"https:\/\/niixer.com\/index.php\/2023\/03\/09\/teoria-de-las-catastrofes\/","title":{"rendered":"Teor\u00eda de las Cat\u00e1strofes"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">\u00bfQu\u00e9 es la teor\u00eda de las cat\u00e1strofes?<\/h2>\n\n\n\n<p class=\"has-text-align-left\">Cuando hablamos de la Teor\u00eda de las cat\u00e1strofes hacemos referencia a la rama que estudia las divisiones de los Sistemas Din\u00e1micos. Esta Teor\u00eda es \u00fatil a la hora de representaciones de fen\u00f3menos naturales ya  que por sus caracter\u00edsticas no se pueden describir de manera exacta como lo explica el matem\u00e1tico Rene Thom en la d\u00e9cada de 1950. Teniendo en cuenta que esta fue difundida a partir de 1968 y 1970 teniendo gran ag\u00fce gracias al impulso causado por Chistopher Zeeman. <\/p>\n\n\n\n<figure class=\"wp-block-embed aligncenter is-type-rich is-provider-instagram wp-block-embed-instagram\"><div class=\"wp-block-embed__wrapper\">\n<blockquote class=\"instagram-media\" data-instgrm-captioned data-instgrm-permalink=\"https:\/\/www.instagram.com\/p\/CeRj9LngLRV\/?utm_source=ig_embed&amp;utm_campaign=loading\" data-instgrm-version=\"14\" style=\" background:#FFF; border:0; border-radius:3px; box-shadow:0 0 1px 0 rgba(0,0,0,0.5),0 1px 10px 0 rgba(0,0,0,0.15); margin: 1px; max-width:658px; min-width:326px; padding:0; width:99.375%; width:-webkit-calc(100% - 2px); width:calc(100% - 2px);\"><div style=\"padding:16px;\"> <a href=\"https:\/\/www.instagram.com\/p\/CeRj9LngLRV\/?utm_source=ig_embed&amp;utm_campaign=loading\" style=\" background:#FFFFFF; line-height:0; padding:0 0; text-align:center; text-decoration:none; width:100%;\" target=\"_blank\"> <div style=\" display: flex; flex-direction: row; align-items: center;\"> <div style=\"background-color: #F4F4F4; border-radius: 50%; flex-grow: 0; height: 40px; margin-right: 14px; width: 40px;\"><\/div> <div style=\"display: flex; flex-direction: column; flex-grow: 1; justify-content: center;\"> <div style=\" background-color: #F4F4F4; border-radius: 4px; flex-grow: 0; height: 14px; margin-bottom: 6px; width: 100px;\"><\/div> <div style=\" background-color: #F4F4F4; border-radius: 4px; flex-grow: 0; height: 14px; width: 60px;\"><\/div><\/div><\/div><div style=\"padding: 19% 0;\"><\/div> <div style=\"display:block; height:50px; margin:0 auto 12px; width:50px;\"><svg width=\"50px\" height=\"50px\" viewBox=\"0 0 60 60\" version=\"1.1\" xmlns=\"https:\/\/www.w3.org\/2000\/svg\" xmlns:xlink=\"https:\/\/www.w3.org\/1999\/xlink\"><g stroke=\"none\" stroke-width=\"1\" fill=\"none\" fill-rule=\"evenodd\"><g transform=\"translate(-511.000000, -20.000000)\" fill=\"#000000\"><g><path d=\"M556.869,30.41 C554.814,30.41 553.148,32.076 553.148,34.131 C553.148,36.186 554.814,37.852 556.869,37.852 C558.924,37.852 560.59,36.186 560.59,34.131 C560.59,32.076 558.924,30.41 556.869,30.41 M541,60.657 C535.114,60.657 530.342,55.887 530.342,50 C530.342,44.114 535.114,39.342 541,39.342 C546.887,39.342 551.658,44.114 551.658,50 C551.658,55.887 546.887,60.657 541,60.657 M541,33.886 C532.1,33.886 524.886,41.1 524.886,50 C524.886,58.899 532.1,66.113 541,66.113 C549.9,66.113 557.115,58.899 557.115,50 C557.115,41.1 549.9,33.886 541,33.886 M565.378,62.101 C565.244,65.022 564.756,66.606 564.346,67.663 C563.803,69.06 563.154,70.057 562.106,71.106 C561.058,72.155 560.06,72.803 558.662,73.347 C557.607,73.757 556.021,74.244 553.102,74.378 C549.944,74.521 548.997,74.552 541,74.552 C533.003,74.552 532.056,74.521 528.898,74.378 C525.979,74.244 524.393,73.757 523.338,73.347 C521.94,72.803 520.942,72.155 519.894,71.106 C518.846,70.057 518.197,69.06 517.654,67.663 C517.244,66.606 516.755,65.022 516.623,62.101 C516.479,58.943 516.448,57.996 516.448,50 C516.448,42.003 516.479,41.056 516.623,37.899 C516.755,34.978 517.244,33.391 517.654,32.338 C518.197,30.938 518.846,29.942 519.894,28.894 C520.942,27.846 521.94,27.196 523.338,26.654 C524.393,26.244 525.979,25.756 528.898,25.623 C532.057,25.479 533.004,25.448 541,25.448 C548.997,25.448 549.943,25.479 553.102,25.623 C556.021,25.756 557.607,26.244 558.662,26.654 C560.06,27.196 561.058,27.846 562.106,28.894 C563.154,29.942 563.803,30.938 564.346,32.338 C564.756,33.391 565.244,34.978 565.378,37.899 C565.522,41.056 565.552,42.003 565.552,50 C565.552,57.996 565.522,58.943 565.378,62.101 M570.82,37.631 C570.674,34.438 570.167,32.258 569.425,30.349 C568.659,28.377 567.633,26.702 565.965,25.035 C564.297,23.368 562.623,22.342 560.652,21.575 C558.743,20.834 556.562,20.326 553.369,20.18 C550.169,20.033 549.148,20 541,20 C532.853,20 531.831,20.033 528.631,20.18 C525.438,20.326 523.257,20.834 521.349,21.575 C519.376,22.342 517.703,23.368 516.035,25.035 C514.368,26.702 513.342,28.377 512.574,30.349 C511.834,32.258 511.326,34.438 511.181,37.631 C511.035,40.831 511,41.851 511,50 C511,58.147 511.035,59.17 511.181,62.369 C511.326,65.562 511.834,67.743 512.574,69.651 C513.342,71.625 514.368,73.296 516.035,74.965 C517.703,76.634 519.376,77.658 521.349,78.425 C523.257,79.167 525.438,79.673 528.631,79.82 C531.831,79.965 532.853,80.001 541,80.001 C549.148,80.001 550.169,79.965 553.369,79.82 C556.562,79.673 558.743,79.167 560.652,78.425 C562.623,77.658 564.297,76.634 565.965,74.965 C567.633,73.296 568.659,71.625 569.425,69.651 C570.167,67.743 570.674,65.562 570.82,62.369 C570.966,59.17 571,58.147 571,50 C571,41.851 570.966,40.831 570.82,37.631\"><\/path><\/g><\/g><\/g><\/svg><\/div><div style=\"padding-top: 8px;\"> <div style=\" color:#3897f0; font-family:Arial,sans-serif; font-size:14px; font-style:normal; font-weight:550; line-height:18px;\">View this post on Instagram<\/div><\/div><div style=\"padding: 12.5% 0;\"><\/div> <div style=\"display: flex; flex-direction: row; margin-bottom: 14px; align-items: center;\"><div> <div style=\"background-color: #F4F4F4; border-radius: 50%; height: 12.5px; width: 12.5px; transform: translateX(0px) translateY(7px);\"><\/div> <div style=\"background-color: #F4F4F4; height: 12.5px; transform: rotate(-45deg) translateX(3px) translateY(1px); width: 12.5px; flex-grow: 0; margin-right: 14px; margin-left: 2px;\"><\/div> <div style=\"background-color: #F4F4F4; border-radius: 50%; height: 12.5px; width: 12.5px; transform: translateX(9px) translateY(-18px);\"><\/div><\/div><div style=\"margin-left: 8px;\"> <div style=\" background-color: #F4F4F4; border-radius: 50%; flex-grow: 0; height: 20px; width: 20px;\"><\/div> <div style=\" width: 0; height: 0; border-top: 2px solid transparent; border-left: 6px solid #f4f4f4; border-bottom: 2px solid transparent; transform: translateX(16px) translateY(-4px) rotate(30deg)\"><\/div><\/div><div style=\"margin-left: auto;\"> <div style=\" width: 0px; border-top: 8px solid #F4F4F4; border-right: 8px solid transparent; transform: translateY(16px);\"><\/div> <div style=\" background-color: #F4F4F4; flex-grow: 0; height: 12px; width: 16px; transform: translateY(-4px);\"><\/div> <div style=\" width: 0; height: 0; border-top: 8px solid #F4F4F4; border-left: 8px solid transparent; transform: translateY(-4px) translateX(8px);\"><\/div><\/div><\/div> <div style=\"display: flex; flex-direction: column; flex-grow: 1; justify-content: center; margin-bottom: 24px;\"> <div style=\" background-color: #F4F4F4; border-radius: 4px; flex-grow: 0; height: 14px; margin-bottom: 6px; width: 224px;\"><\/div> <div style=\" background-color: #F4F4F4; border-radius: 4px; flex-grow: 0; height: 14px; width: 144px;\"><\/div><\/div><\/a><p style=\" color:#c9c8cd; font-family:Arial,sans-serif; font-size:14px; line-height:17px; margin-bottom:0; margin-top:8px; overflow:hidden; padding:8px 0 7px; text-align:center; text-overflow:ellipsis; white-space:nowrap;\"><a href=\"https:\/\/www.instagram.com\/p\/CeRj9LngLRV\/?utm_source=ig_embed&amp;utm_campaign=loading\" style=\" color:#c9c8cd; font-family:Arial,sans-serif; font-size:14px; font-style:normal; font-weight:normal; line-height:17px; text-decoration:none;\" target=\"_blank\">A post shared by Librer\u00eda El Lugar. Nos encantan los libros. (@libreriaellugar)<\/a><\/p><\/div><\/blockquote><script async src=\"\/\/platform.instagram.com\/en_US\/embeds.js\"><\/script>\n<\/div><\/figure>\n\n\n\n<p class=\"has-text-align-left\">Rene Thom nacio en Montbeliard Francia, fue profesor en Grenoble y Estrasburgo. Conocido mayormente por la Teor\u00eda de las cat\u00e1strofes, su primer trabajo estaba ligado con la Topolog\u00eda Diferencial en esta introdujo un termino que al d\u00eda de hoy es de gran importancia, el cobordismo, el cual define a dos variedades compactas. <\/p>\n\n\n\n<figure class=\"wp-block-image alignleft size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/niixer.com\/wp-content\/uploads\/2023\/03\/ReneThom-1.png\" alt=\"\" class=\"wp-image-35203\" width=\"244\" height=\"280\" srcset=\"https:\/\/niixer.com\/wp-content\/uploads\/2023\/03\/ReneThom-1.png 436w, https:\/\/niixer.com\/wp-content\/uploads\/2023\/03\/ReneThom-1-262x300.png 262w\" sizes=\"auto, (max-width: 244px) 100vw, 244px\" \/><\/figure>\n\n\n\n<p>Uno de los fundadores de una rama entera de las matem\u00e1ticas modernas, fundador de la Teor\u00eda de las cat\u00e1strofes qui\u00e9n luego de crear  una obra matem\u00e1tica considerable se consagr\u00f3 exitosamente a la filosof\u00eda, llegando a buscar aplicaciones de su saber en otras ciencias. Muri\u00f3 a sus 79 a\u00f1os siendo reconocido por la teor\u00eda y medalla Fields, considerada como el Nobel de las Matem\u00e1ticas. <\/p>\n\n\n\n<p class=\"has-text-align-left\">Esta teor\u00eda nos presenta la inclinaci\u00f3n de los sistemas estructuralmente , ya que estas pueden presentar cambios repentinos tanto en sus comportamientos como en sus resultados. Los comportamientos se pueden invierten aunque es importante resaltar que una vez esto sucede no es posible regresar al comportamiento inicial. <\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Caracter\u00edsticas: <\/h2>\n\n\n\n<p>Discontinuidad:  Producci\u00f3n de cambios repentinos en comportamientos o resultados. Se llega a un punto donde no es posible mantenerse en un mismo estado  conllevando a un fuerte cambio.<\/p>\n\n\n\n<p>Divergencia: Es la tendencia a peque\u00f1os alejamientos que crean grandes alejamientos. Variaciones peque\u00f1as en el punto inicial nos lleva a resultados alejados.<\/p>\n\n\n\n<p>Hist\u00e9resis: Es el resultado que dependiendo de sus antecedentes al cambiar los comportamientos impiden regresar al inicial. <\/p>\n\n\n\n<p>Aplicaci\u00f3n de la teor\u00eda de las cat\u00e1strofes: <\/p>\n\n\n\n<p>Esta teor\u00eda en el sentido dado por Rene Thom a sido aplicada en campos como: <\/p>\n\n\n\n<p>F\u00edsica,causticas,ling\u00fc\u00edstica entre algunas otras, con esto podemos comprender la rama c\u00f3mo la teor\u00eda de la ramificaci\u00f3n dedicada al estudio de los sistemas din\u00e1micos,tambi\u00e9n es un caso especial de la teor\u00eda de la singularidad m\u00e1s general, y su relaci\u00f3n con el equilibrio estacionario permite considerarla relacionada con la funci\u00f3n de Lyapunov.La premisa de la teor\u00eda del riesgo es que a partir del modelo din\u00e1mico continuo m\u00e1s simple, es posible generar una forma matem\u00e1tica que proporcione una descripci\u00f3n emp\u00edrica de los fen\u00f3menos que se consideran discretos. Se han hecho intentos de aplicar la teor\u00eda de las cat\u00e1strofes a la biolog\u00eda, la psicolog\u00eda, la sociolog\u00eda e incluso la econom\u00eda, aunque dif\u00edcilmente se puede aceptar la extrapolaci\u00f3n a dichas disciplinas por considerarla no adecuada. <\/p>\n\n\n\n<p><br>M\u00e1s precisamente, estamos hablando del estudio cualitativo de las soluciones de ecuaciones seg\u00fan el n\u00famero de par\u00e1metros contenidos en ellas. El t\u00e9rmino desastre se refiere a un lugar donde una caracter\u00edstica cambia repentinamente su forma o configuraci\u00f3n por esto es importante tener en cuenta su origen Los desastres pueden ser causados \u200b\u200bpor peligros naturales, generados por el hombre, as\u00ed como por diversos factores que influyen en la exposici\u00f3n y vulnerabilidad de una comunidad. <\/p>\n\n\n\n<p>Teorema de la clasificaci\u00f3n<br>La conclusi\u00f3n m\u00e1s conocida obtenida por Thom es que existen varias formas posibles de &#8220;cat\u00e1strofes&#8221; para todas las ecuaciones que tengan m\u00e1s de cuatro par\u00e1metros. Cada una de estas formas recibe el nombre en relaci\u00f3n con su forma <br>Cat\u00e1strofes elementales, este nombre puesto por Ren\u00e9 Thom<br>Flexi\u00f3n (para un par\u00e1metro en entrada y uno en salida) :<br>Fruncido o c\u00faspide (para dos par\u00e1metros) <br>El ombligo hiperb\u00f3lico (&#8220;la onda&#8221; o &#8220;portafolios&#8221;) <br>El ombligo el\u00edptico (&#8220;el pelo&#8221; o pir\u00e1mide&#8221;) <br><\/p>\n\n\n\n<p><br><\/p>\n\n\n\n<figure class=\"wp-block-embed alignwide is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"Sistemas Din\u00e1micos  Fractales, Caos y Cat\u00e1strofes\" width=\"800\" height=\"450\" src=\"https:\/\/www.youtube.com\/embed\/zi2imbOIhV4?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">Cr\u00e9ditos:<\/h2>\n\n\n\n<p>Autor: Sara Tibisay Amaya Urbano <\/p>\n\n\n\n<p>Profesor: Carlos Iv\u00e1n Pinz\u00f3n <\/p>\n\n\n\n<p>C\u00f3digo: UCPSG7-1<\/p>\n\n\n\n<p>Universidad: Universidad Central.    <\/p>\n\n\n\n<pre class=\"wp-block-preformatted\">Fuentes: \n\nhttp:\/\/centrohuarte.es\/blogh\/2017\/11\/12\/teo\nhttps:\/\/es.m.wikipedia.org\/wiki\/Teor%C3%ADa_de_las_cat%C3%A1strofe\n<div>\nhttps:\/\/veredes.es\/blog\/teoria-de-las-catastrofes-miquel-lacasta\/<\/div>\n<iframe title=\"Spotify Embed: Teoria General de Sistemas \" style=\"border-radius: 12px\" width=\"100%\" height=\"152\" frameborder=\"0\" allowfullscreen allow=\"autoplay; clipboard-write; encrypted-media; fullscreen; picture-in-picture\" loading=\"lazy\" src=\"https:\/\/open.spotify.com\/embed\/episode\/1U6tLhxQrBBnXAX0yGkFSP?si=Lo3DTrG9SiGGDwy6hc8QSw&#038;app_destination=copy-link&#038;utm_source=oembed\"><\/iframe>\n<div>\n<\/div><\/pre>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u00bfQu\u00e9 es la teor\u00eda de las cat\u00e1strofes? Cuando hablamos de la Teor\u00eda de las cat\u00e1strofes hacemos referencia a la rama que estudia las divisiones de los Sistemas Din\u00e1micos. Esta Teor\u00eda es \u00fatil a la hora de representaciones de fen\u00f3menos naturales ya que por sus caracter\u00edsticas no se pueden describir deSeguir Leyendo<\/p>\n","protected":false},"author":897,"featured_media":35194,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"colormag_page_container_layout":"default_layout","colormag_page_sidebar_layout":"default_layout","footnotes":""},"categories":[2141,2118,2101],"tags":[2531,2124,2096],"class_list":["post-35134","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-investigacion","category-teoria-general-de-sistemas","category-tgs","tag-rene-thom","tag-sistemas-dinamicos","tag-tgs"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.2 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Teor\u00eda de las Cat\u00e1strofes &#8211; Portal de noticias de tecnolog\u00eda, Realidad Virtual, Aumentada y Mixta, Videojuegos<\/title>\n<meta name=\"description\" content=\"Rene Thom Teor\u00eda de las cat\u00e1strofes\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/niixer.com\/index.php\/2023\/03\/09\/teoria-de-las-catastrofes\/\" \/>\n<meta property=\"og:locale\" content=\"es_ES\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Teor\u00eda de las Cat\u00e1strofes &#8211; 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