{"id":272,"date":"2015-12-30T00:46:16","date_gmt":"2015-12-30T00:46:16","guid":{"rendered":"http:\/\/www.ime.unicamp.br\/~ddnovaes\/?page_id=272"},"modified":"2015-12-31T02:10:19","modified_gmt":"2015-12-31T02:10:19","slug":"gabriel-ponce","status":"publish","type":"page","link":"http:\/\/www.ime.unicamp.br\/~ddnovaes\/index.php\/gabriel-ponce\/","title":{"rendered":"Gabriel Ponce"},"content":{"rendered":"<p><a href=\"http:\/\/www.ime.unicamp.br\/~ddnovaes\/index.php\/pesquisa\/colaboradores\/\">Colaboradores<\/a><\/p>\n<div class=\"teachpress_pub_list\"><form name=\"tppublistform\" method=\"get\"><a name=\"tppubs\" id=\"tppubs\"><\/a><\/form><div class=\"teachpress_publication_list\"><div class=\"tp_publication tp_publication_article\"><div class=\"tp_pub_number\">2.<\/div><div class=\"tp_pub_info\"><p class=\"tp_pub_author\">Matheus G. C. Cunha; Douglas D. Novaes; Gabriel Ponce<\/p><p class=\"tp_pub_title\"><a class=\"tp_title_link\" href=\"https:\/\/dx.doi.org\/10.1088\/1361-6544\/ad8d9c\" title=\"On the Hausdorff dimension and Cantor set structure of sliding Shilnikov invariant sets\" target=\"blank\">On the Hausdorff dimension and Cantor set structure of sliding Shilnikov invariant sets<\/a> <span class=\"tp_pub_type article\">Journal Article<\/span> <\/p><p class=\"tp_pub_additional\"><span class=\"tp_pub_additional_in\">Em: <\/span><span class=\"tp_pub_additional_journal\">Nonlinearity, <\/span><span class=\"tp_pub_additional_volume\">vol. 37, <\/span><span class=\"tp_pub_additional_number\">n\u00e3o 125023, <\/span><span class=\"tp_pub_additional_year\">2024<\/span>.<\/p><p class=\"tp_pub_menu\"><span class=\"tp_resource_link\"><a id=\"tp_links_sh_67\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('67','tp_links')\" title=\"Mostrar links e recursos\" style=\"cursor:pointer;\">Links<\/a><\/span> | <span class=\"tp_bibtex_link\"><a id=\"tp_bibtex_sh_67\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('67','tp_bibtex')\" title=\"Mostrar BibTeX\" style=\"cursor:pointer;\">BibTeX<\/a><\/span><\/p><div class=\"tp_bibtex\" id=\"tp_bibtex_67\" style=\"display:none;\"><div class=\"tp_bibtex_entry\"><pre>@article{CunNovPon2024,<br \/>\r\ntitle = {On the Hausdorff dimension and Cantor set structure of sliding Shilnikov invariant sets},<br \/>\r\nauthor = {Matheus G. C. Cunha and Douglas D. Novaes and Gabriel Ponce},<br \/>\r\nurl = {https:\/\/arxiv.org\/abs\/2312.10720},<br \/>\r\ndoi = {10.1088\/1361-6544\/ad8d9c},<br \/>\r\nyear  = {2024},<br \/>\r\ndate = {2024-10-31},<br \/>\r\nurldate = {2024-10-31},<br \/>\r\njournal = {Nonlinearity},<br \/>\r\nvolume = {37},<br \/>\r\nnumber = {125023},<br \/>\r\nkeywords = {},<br \/>\r\npubstate = {published},<br \/>\r\ntppubtype = {article}<br \/>\r\n}<br \/>\r\n<\/pre><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('67','tp_bibtex')\">Fechar<\/a><\/p><\/div><div class=\"tp_links\" id=\"tp_links_67\" style=\"display:none;\"><div class=\"tp_links_entry\"><ul class=\"tp_pub_list\"><li><i class=\"ai ai-arxiv\"><\/i><a class=\"tp_pub_list\" href=\"https:\/\/arxiv.org\/abs\/2312.10720\" title=\"https:\/\/arxiv.org\/abs\/2312.10720\" target=\"_blank\">https:\/\/arxiv.org\/abs\/2312.10720<\/a><\/li><li><i class=\"ai ai-doi\"><\/i><a class=\"tp_pub_list\" href=\"https:\/\/dx.doi.org\/10.1088\/1361-6544\/ad8d9c\" title=\"Follow DOI:10.1088\/1361-6544\/ad8d9c\" target=\"_blank\">doi:10.1088\/1361-6544\/ad8d9c<\/a><\/li><\/ul><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('67','tp_links')\">Fechar<\/a><\/p><\/div><\/div><\/div><div class=\"tp_publication tp_publication_article\"><div class=\"tp_pub_number\">1.<\/div><div class=\"tp_pub_info\"><p class=\"tp_pub_author\">Douglas D. Novaes; Gabriel Ponce; R\u00e9gis Var\u00e3o<\/p><p class=\"tp_pub_title\"><a class=\"tp_title_link\" href=\"https:\/\/dx.doi.org\/10.1007\/s10884-017-9580-8\" title=\"Chaos induced by sliding phenomena in Filippov systems\" target=\"blank\">Chaos induced by sliding phenomena in Filippov systems<\/a> <span class=\"tp_pub_type article\">Journal Article<\/span> <\/p><p class=\"tp_pub_additional\"><span class=\"tp_pub_additional_in\">Em: <\/span><span class=\"tp_pub_additional_journal\">Journal of Dynamics and Differential Equations, <\/span><span class=\"tp_pub_additional_pages\">pp. 1-15, <\/span><span class=\"tp_pub_additional_year\">2017<\/span>.<\/p><p class=\"tp_pub_menu\"><span class=\"tp_abstract_link\"><a id=\"tp_abstract_sh_21\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('21','tp_abstract')\" title=\"Mostrar resumo\" style=\"cursor:pointer;\">Resumo<\/a><\/span> | <span class=\"tp_resource_link\"><a id=\"tp_links_sh_21\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('21','tp_links')\" title=\"Mostrar links e recursos\" style=\"cursor:pointer;\">Links<\/a><\/span> | <span class=\"tp_bibtex_link\"><a id=\"tp_bibtex_sh_21\" class=\"tp_show\" onclick=\"teachpress_pub_showhide('21','tp_bibtex')\" title=\"Mostrar BibTeX\" style=\"cursor:pointer;\">BibTeX<\/a><\/span><\/p><div class=\"tp_bibtex\" id=\"tp_bibtex_21\" style=\"display:none;\"><div class=\"tp_bibtex_entry\"><pre>@article{NovPonVar2017,<br \/>\r\ntitle = {Chaos induced by sliding phenomena in Filippov systems},<br \/>\r\nauthor = {Douglas D. Novaes and Gabriel Ponce and R\u00e9gis Var\u00e3o},<br \/>\r\nurl = {http:\/\/dx.doi.org\/10.1007\/s10884-017-9580-8},<br \/>\r\ndoi = {10.1007\/s10884-017-9580-8},<br \/>\r\nyear  = {2017},<br \/>\r\ndate = {2017-02-16},<br \/>\r\njournal = {Journal of Dynamics and Differential Equations},<br \/>\r\npages = {1-15},<br \/>\r\nabstract = {In this paper we provide a full topological and ergodic description of the dynamics of Filippov systems nearby a sliding Shilnikov orbit G. More specifically we prove that the first return map, defined nearby G, is topologically conjugate to a Bernoulli shift with infinite topological entropy. In particular, we see that for each natural number m it has infinitely many periodic points with period m.},<br \/>\r\nkeywords = {},<br \/>\r\npubstate = {published},<br \/>\r\ntppubtype = {article}<br \/>\r\n}<br \/>\r\n<\/pre><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('21','tp_bibtex')\">Fechar<\/a><\/p><\/div><div class=\"tp_abstract\" id=\"tp_abstract_21\" style=\"display:none;\"><div class=\"tp_abstract_entry\">In this paper we provide a full topological and ergodic description of the dynamics of Filippov systems nearby a sliding Shilnikov orbit G. More specifically we prove that the first return map, defined nearby G, is topologically conjugate to a Bernoulli shift with infinite topological entropy. In particular, we see that for each natural number m it has infinitely many periodic points with period m.<\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('21','tp_abstract')\">Fechar<\/a><\/p><\/div><div class=\"tp_links\" id=\"tp_links_21\" style=\"display:none;\"><div class=\"tp_links_entry\"><ul class=\"tp_pub_list\"><li><i class=\"fas fa-globe\"><\/i><a class=\"tp_pub_list\" href=\"http:\/\/dx.doi.org\/10.1007\/s10884-017-9580-8\" title=\"http:\/\/dx.doi.org\/10.1007\/s10884-017-9580-8\" target=\"_blank\">http:\/\/dx.doi.org\/10.1007\/s10884-017-9580-8<\/a><\/li><li><i class=\"ai ai-doi\"><\/i><a class=\"tp_pub_list\" href=\"https:\/\/dx.doi.org\/10.1007\/s10884-017-9580-8\" title=\"Follow DOI:10.1007\/s10884-017-9580-8\" target=\"_blank\">doi:10.1007\/s10884-017-9580-8<\/a><\/li><\/ul><\/div><p class=\"tp_close_menu\"><a class=\"tp_close\" onclick=\"teachpress_pub_showhide('21','tp_links')\">Fechar<\/a><\/p><\/div><\/div><\/div><\/div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Colaboradores<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"_links":{"self":[{"href":"http:\/\/www.ime.unicamp.br\/~ddnovaes\/index.php\/wp-json\/wp\/v2\/pages\/272"}],"collection":[{"href":"http:\/\/www.ime.unicamp.br\/~ddnovaes\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"http:\/\/www.ime.unicamp.br\/~ddnovaes\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"http:\/\/www.ime.unicamp.br\/~ddnovaes\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/www.ime.unicamp.br\/~ddnovaes\/index.php\/wp-json\/wp\/v2\/comments?post=272"}],"version-history":[{"count":3,"href":"http:\/\/www.ime.unicamp.br\/~ddnovaes\/index.php\/wp-json\/wp\/v2\/pages\/272\/revisions"}],"predecessor-version":[{"id":369,"href":"http:\/\/www.ime.unicamp.br\/~ddnovaes\/index.php\/wp-json\/wp\/v2\/pages\/272\/revisions\/369"}],"wp:attachment":[{"href":"http:\/\/www.ime.unicamp.br\/~ddnovaes\/index.php\/wp-json\/wp\/v2\/media?parent=272"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}