{"id":2128,"date":"2019-02-04T17:31:29","date_gmt":"2019-02-04T16:31:29","guid":{"rendered":"https:\/\/scm.iec.cat\/?p=2128"},"modified":"2026-08-10T00:22:36","modified_gmt":"2026-08-09T22:22:36","slug":"resolucio-barcelona-dynamical-system-prize-2017-3","status":"publish","type":"post","link":"https:\/\/scm.iec.cat\/eng\/resolucio-barcelona-dynamical-system-prize-2017-3\/","title":{"rendered":"Resolution of Barcelona Dynamical System Prize 2017"},"content":{"rendered":"<h4><span style=\"font-size: 14pt;\"><em>Awards<\/em><\/span><\/h4>\n<p><span style=\"font-size: 14pt;\"><em>Rigorous Computer-Assisted Application of KAM Theory: A Modern Approach<\/em><\/span><\/p>\n<p><span style=\"font-size: 14pt;\"><strong>Jordi-Llu\u00eds Figueras, \u00c0lex Haro and Alejandro Luque<\/strong><\/span><\/p>\n<h4><span style=\"font-size: 14pt;\"><em>Awards<\/em><\/span><\/h4>\n<p><span style=\"font-size: 14pt;\"><em>Rigorous Computer-Assisted Application of KAM Theory: A Modern Approach<\/em><\/span><\/p>\n<p><span style=\"font-size: 14pt;\"><strong>Jordi-Llu\u00eds Figueras, \u00c0lex Haro and Alejandro Luque<\/strong><\/span><\/p>\n<h4><span style=\"font-size: 14pt;\"><em>Edition<\/em><\/span><\/h4>\n<p>Papers published before January 31, 2017<\/p>\n<h4><span style=\"font-size: 14pt;\"><em>Award ceremony<\/em><\/span><\/h4>\n<p><span style=\"font-size: 14pt;\"><strong>Date<br \/>\n<\/strong><\/span><em>June 2017<\/em><\/p>\n<p><span style=\"font-size: 14pt;\"><strong>Place<br \/>\n<\/strong><\/span>Institute of Catalan Studies<\/p>\n<p><span style=\"font-size: 14pt;\"><strong>Place<br \/>\n<\/strong><\/span>Institute of Catalan Studies<\/p>\n<h2><strong>Barcelona Dynamical Systems 2017 under the patronage of Professor Carles Sim\u00f3 i Torres<\/strong><\/h2>\n<p>In this paper, the authors introduce new KAM strategies for constructing invariant tori. The new material consists of improvements in theoretical and computational methods that produce stronger results in concrete examples, like the standard map, the standard non-twist map, and the Froeschl\u00e9 map. Remarkably, the threshold value obtained in the standard map appears to be almost optimal.<\/p>\n<p><a href=\"https:\/\/scm.iec.cat\/wp-content\/uploads\/2017\/06\/resolucio_BDSP_2017.pdf\">Link to the resolution.<\/a><\/p>\n<h4><span style=\"font-size: 14pt;\"><em>Jury<\/em><\/span><\/h4>\n<p><span style=\"font-size: 14pt;\"><strong>John Guckenheimer<br \/>\n<\/strong><\/span><em>Cornell University<\/em><\/p>\n<p><span style=\"font-size: 14pt;\"><strong>Enrique Pujals<br \/>\n<\/strong><\/span><em>IMPA<\/em><\/p>\n<p><span style=\"font-size: 14pt;\"><strong>Rick Moeckel<br \/>\n<\/strong><\/span><em>University of Minnesota<\/em><\/p>\n<p><span style=\"font-size: 14pt;\"><strong>Robert Roussarie<br \/>\n<\/strong><\/span><em>Universit\u00e9 de Bourgogne<\/em><\/p>\n<p><span style=\"font-size: 14pt;\"><strong>Anatoly Neishtadt<br \/>\n<\/strong><\/span><em>Loughborough University<\/em><\/p>\n<p><span style=\"font-size: 14pt;\"><strong>Amadeu Delshams<br \/>\n<\/strong><\/span><em>UPC, Secretary of the jury without vote<\/em><\/p>","protected":false},"excerpt":{"rendered":"<p>Resolution of Barcelona Dynamical Systems 2017 under the patronage of Professor Carles Sim\u00f3 i Torres<\/p>","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[22],"tags":[],"class_list":["post-2128","post","type-post","status-publish","format-standard","hentry","category-barcelona-dynamical-systems"],"acf":[],"_links":{"self":[{"href":"https:\/\/scm.iec.cat\/eng\/wp-json\/wp\/v2\/posts\/2128","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/scm.iec.cat\/eng\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/scm.iec.cat\/eng\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/scm.iec.cat\/eng\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/scm.iec.cat\/eng\/wp-json\/wp\/v2\/comments?post=2128"}],"version-history":[{"count":1,"href":"https:\/\/scm.iec.cat\/eng\/wp-json\/wp\/v2\/posts\/2128\/revisions"}],"predecessor-version":[{"id":8934,"href":"https:\/\/scm.iec.cat\/eng\/wp-json\/wp\/v2\/posts\/2128\/revisions\/8934"}],"wp:attachment":[{"href":"https:\/\/scm.iec.cat\/eng\/wp-json\/wp\/v2\/media?parent=2128"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/scm.iec.cat\/eng\/wp-json\/wp\/v2\/categories?post=2128"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/scm.iec.cat\/eng\/wp-json\/wp\/v2\/tags?post=2128"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}