{"id":643,"date":"2025-09-08T20:04:15","date_gmt":"2025-09-08T19:04:15","guid":{"rendered":"https:\/\/mat.uab.cat\/web\/tfg\/?p=643"},"modified":"2026-02-13T08:17:18","modified_gmt":"2026-02-13T07:17:18","slug":"sistemes-dinamics-a-traves-de-transformers","status":"publish","type":"post","link":"https:\/\/mat.uab.cat\/web\/tfg\/sistemes-dinamics-a-traves-de-transformers\/","title":{"rendered":"Sistemes din\u00e0mics a trav\u00e9s de transformers"},"content":{"rendered":"<p>Una condici\u00f3 suficient per a l&#8217;estabilitat d&#8217;un sistema din\u00e0mic \u00e9s l&#8217;exist\u00e8ncia d&#8217;una funci\u00f3 de Lyapunov, la qual \u00e9s, per\u00f2, dif\u00edcil de trobar. Aquest treball \u00e9s una exploraci\u00f3 de com els transformers aconsegueixen trobar-la en molt m\u00e9s casos que les t\u00e8cniques tradicionals. La refer\u00e8ncia inicial d&#8217;aquest treball \u00e9s &#8220;Global Lyapunov functions: a long-standing open problem in mathematics, with symbolic transformers&#8221; d&#8217;Alfarano, Charton and Hayat. L&#8217;estudiant ha de tindre coneixements de xarxes neuronals.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Una condici\u00f3 suficient per a l&#8217;estabilitat d&#8217;un sistema din\u00e0mic \u00e9s l&#8217;exist\u00e8ncia d&#8217;una funci\u00f3 de Lyapunov, la qual \u00e9s, per\u00f2, dif\u00edcil de trobar. Aquest treball \u00e9s una exploraci\u00f3 de com els transformers aconsegueixen trobar-la en molt m\u00e9s casos que les t\u00e8cniques tradicionals. La refer\u00e8ncia inicial d&#8217;aquest treball \u00e9s &#8220;Global Lyapunov functions: a long-standing open problem in [&hellip;]<\/p>\n","protected":false},"author":54,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[30,1],"tags":[22],"class_list":["post-643","post","type-post","status-publish","format-standard","hentry","category-matematica-aplicada","category-general","tag-roberto-rubio"],"_links":{"self":[{"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/posts\/643","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/users\/54"}],"replies":[{"embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/comments?post=643"}],"version-history":[{"count":1,"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/posts\/643\/revisions"}],"predecessor-version":[{"id":644,"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/posts\/643\/revisions\/644"}],"wp:attachment":[{"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/media?parent=643"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/categories?post=643"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/tags?post=643"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}