{"id":109,"date":"2024-10-29T09:51:48","date_gmt":"2024-10-29T12:51:48","guid":{"rendered":"https:\/\/www.ime.unicamp.br\/dynsys\/?p=109"},"modified":"2024-10-29T09:51:48","modified_gmt":"2024-10-29T12:51:48","slug":"hyperbolicity-for-infinite-delayed-difference-equations","status":"publish","type":"post","link":"https:\/\/www.ime.unicamp.br\/dynsys\/index.php\/2024\/10\/29\/hyperbolicity-for-infinite-delayed-difference-equations\/","title":{"rendered":"Hyperbolicity for Infinite Delayed Difference Equations"},"content":{"rendered":"\n<p><strong>Speaker: <\/strong>Matheus Cunhas<br><strong>Abstract:<\/strong> We show that the hyperbolicity of a linear delay-difference equation with infinite delay, expressed in terms of the existence of an exponential dichotomy, can be completely characterized by the hyperbolicity of a linear cocycle obtained from the solutions of the equation. As an appli-<br>cation of this characterization, we obtain several consequences: the extension of hyperbolicity to all equations in the invariant hull; the robustness of the existence of hyperbolicity for all equations in this hull under sufficiently small linear perturbations; and the equality of all spectra in the invariant hull.<br><strong>Date:<\/strong> 29\/10\/2024 &#8211; 16:00<br><strong>Room:<\/strong> 321 IMECC<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Speaker: Matheus CunhasAbstract: We show that the hyperbolicity of a linear delay-difference equation with infinite delay, expressed in terms of the existence of an exponential dichotomy, can be completely characterized by the hyperbolicity of a linear cocycle obtained from the solutions of the equation. As an appli-cation of this characterization, we obtain several consequences: the [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-109","post","type-post","status-publish","format-standard","hentry","category-sem-categoria"],"_links":{"self":[{"href":"https:\/\/www.ime.unicamp.br\/dynsys\/index.php\/wp-json\/wp\/v2\/posts\/109"}],"collection":[{"href":"https:\/\/www.ime.unicamp.br\/dynsys\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.ime.unicamp.br\/dynsys\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.ime.unicamp.br\/dynsys\/index.php\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.ime.unicamp.br\/dynsys\/index.php\/wp-json\/wp\/v2\/comments?post=109"}],"version-history":[{"count":1,"href":"https:\/\/www.ime.unicamp.br\/dynsys\/index.php\/wp-json\/wp\/v2\/posts\/109\/revisions"}],"predecessor-version":[{"id":110,"href":"https:\/\/www.ime.unicamp.br\/dynsys\/index.php\/wp-json\/wp\/v2\/posts\/109\/revisions\/110"}],"wp:attachment":[{"href":"https:\/\/www.ime.unicamp.br\/dynsys\/index.php\/wp-json\/wp\/v2\/media?parent=109"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.ime.unicamp.br\/dynsys\/index.php\/wp-json\/wp\/v2\/categories?post=109"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.ime.unicamp.br\/dynsys\/index.php\/wp-json\/wp\/v2\/tags?post=109"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}