{"id":177,"date":"2017-10-03T11:44:48","date_gmt":"2017-10-03T14:44:48","guid":{"rendered":"http:\/\/www.professores.uff.br\/balarcon\/?page_id=177"},"modified":"2020-02-21T15:11:53","modified_gmt":"2020-02-21T18:11:53","slug":"publications","status":"publish","type":"page","link":"https:\/\/www.professores.uff.br\/balarcon\/?page_id=177","title":{"rendered":"Publications"},"content":{"rendered":"

\"\"<\/a><\/strong><\/p>\n

Research:<\/strong> My main interests are Topological Dynamics on surfaces and Bifurcation Theory of vector fields, including global dynamics and classification of injective maps. I am also interested on dynamical systems with symmetry and applications to Differential Equations. Recently, I am curious about Numerical Analysis and applications to Engineering.<\/p>\n

Publications:<\/strong><\/p>\n

– B. Alarc\u00f3n, S.B.S.D. Castro and I. S. Labouriau. Global Saddles for Planar Maps. Journal of Dynamics and Differential Equations, 30, 601\u2013612, 2018. <\/em>DOI 10.1007\/s10884-016-9561-3.<\/a><\/p>\n

– B. Alarc\u00f3n and R. Rabanal. Hopf bifurcation at infinity and dissipative vector fields of the plane. Proceedings of the American Mathematical Society, 145, 3033-3046, 2017. DOI 10.1090\/proc\/13462.<\/a><\/em><\/p>\n

– B. Alarc\u00f3n, S.B.S.D. Castro and I. S. Labouriau. Discrete Symmetric Planar Dynamics. Dynamics, Games and Science CIM Series in Mathematical Sciences, Springer. Vol. I, Chap. 2,<\/em> 2015.<\/p>\n

– B. Alarc\u00f3n. Rotation numbers for planar attractors of equivariant homeomorphisms. Topological Methods in Nonlinear Analysis, 42 n.2, 327-343, 2013.<\/em><\/p>\n

– B. Alarc\u00f3n, S.B.S.D. Castro and I. S. Labouriau. Global Dynamics for Symmetric Planar Maps. Discrete & Continuous Dyn Syst- A, 37, 2241-2251, 2013.<\/em><\/p>\n

– B. Alarc\u00f3n, S.B.S.D. Castro and I. S. Labouriau. A local but not global attractor for a Zn-symmetric map. Journal of Singularities,<\/em> 6, 1-14, 2012.<\/p>\n

– B. Alarc\u00f3n, S.B.S.D. Castro and I. S. Labouriau. The Discrete Markus-Yamabe Problem for Symmetric Planar Polynomial Maps. Indagationes Mathematicae<\/em>, 23, 603\u2013608, 2012.<\/p>\n

– B. Alarc\u00f3n, V. Gui\u00f1ez and C. Gutierrez. Planar Embeddings with a globally attracting fixed point. Nonlinear Analysis,<\/em> 69, 140-150, 2008.<\/p>\n

– B. Alarc\u00f3n, C. Gutierrez and J. Mart\u00ednez-Alfaro. Planar maps whose second iterate has a unique fixed point. Journal of Difference Equations and Applications<\/em>, 14 n. 4, 421-428, 2008.<\/p>\n

– B. Alarc\u00f3n, V. Gui\u00f1ez and C. Gutierrez. Hopf bifurcation at infinity for planar vector fields. Discrete and Continuous Dynamical Systems<\/em> A, 17 n. 2, 247-258, 2007.<\/p>\n","protected":false},"excerpt":{"rendered":"

Research: My main interests are Topological Dynamics on surfaces and Bifurcation Theory of vector fields, including global dynamics and classification of injective maps. I am also interested on dynamical systems with symmetry and applications to Differential Equations. Recently, I am curious about Numerical Analysis and applications to Engineering. Publications: – B. Alarc\u00f3n, S.B.S.D. Castro and […]<\/p>\n","protected":false},"author":2,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_exactmetrics_skip_tracking":false,"_exactmetrics_sitenote_active":false,"_exactmetrics_sitenote_note":"","_exactmetrics_sitenote_category":0,"footnotes":""},"categories":[],"tags":[],"class_list":["post-177","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.professores.uff.br\/balarcon\/index.php?rest_route=\/wp\/v2\/pages\/177","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.professores.uff.br\/balarcon\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.professores.uff.br\/balarcon\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.professores.uff.br\/balarcon\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.professores.uff.br\/balarcon\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=177"}],"version-history":[{"count":7,"href":"https:\/\/www.professores.uff.br\/balarcon\/index.php?rest_route=\/wp\/v2\/pages\/177\/revisions"}],"predecessor-version":[{"id":361,"href":"https:\/\/www.professores.uff.br\/balarcon\/index.php?rest_route=\/wp\/v2\/pages\/177\/revisions\/361"}],"wp:attachment":[{"href":"https:\/\/www.professores.uff.br\/balarcon\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=177"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.professores.uff.br\/balarcon\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=177"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.professores.uff.br\/balarcon\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=177"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}