{"id":518,"date":"2019-01-11T03:08:33","date_gmt":"2019-01-11T03:08:33","guid":{"rendered":"http:\/\/pages.charlotte.edu\/colloquium\/?p=518"},"modified":"2019-01-14T02:34:30","modified_gmt":"2019-01-14T02:34:30","slug":"wednesday-jan-16-1100am-1200-noon-conference","status":"publish","type":"post","link":"https:\/\/pages.charlotte.edu\/colloquium\/blog\/2019\/01\/11\/wednesday-jan-16-1100am-1200-noon-conference\/","title":{"rendered":"Wednesday, Jan 16, 11:00AM-12:00 Noon, Conference room"},"content":{"rendered":"<table>\n<tbody>\n<tr style=\"height: 24px\">\n<td style=\"height: 24px\">Inbo Sim, University of Ulsan, South Korea<\/td>\n<\/tr>\n<tr style=\"height: 24px\">\n<td style=\"height: 24px\">Title: Symmetry-breaking bifurcation for the one-dimensional H\\'{e}non and Moore-Nehari differential equations<\/td>\n<\/tr>\n<tr style=\"height: 144px\">\n<td style=\"height: 144px\">Abstract: We show the existence of a symmetry-breaking bifurcation point for the one-dimensional H\\'{e}non and the\u00a0 Moore-Nehari differential equation.<\/p>\n<div>\n<div class=\"gmail_quote\">\n<div dir=\"ltr\">\n<div>\n<div>\n<p><span style=\"font-family: arial, helvetica, sans-serif\">\u00a0Employing a variant of Rabinowitz&#8217;s global bifurcation, we obtain the unbounded connected set (the first of the alternatives about Rabinowitz&#8217;s global bifurcation), which emanates from the symmetry-breaking bifurcation point. Moreover, we give an example of a bounded branch connecting two symmetry-breaking bifurcation points (the second of the alternatives about Rabinowitz&#8217;s global bifurcation) and\u00a0show that a bifurcation point\u00a0for Moore-Nehari equation is explicitly represented as a function of \\p\\ which is an exponent of nonlinear term.<\/span><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Inbo Sim, University of Ulsan, South Korea Title: Symmetry-breaking bifurcation for the one-dimensional H\\'{e}non and Moore-Nehari differential equations Abstract: We show the existence of a symmetry-breaking bifurcation point for the one-dimensional H\\'{e}non and the\u00a0 Moore-Nehari differential equation. \u00a0Employing a variant of Rabinowitz&#8217;s global bifurcation, we obtain the unbounded connected set (the first of the alternatives [&hellip;]<\/p>\n","protected":false},"author":333,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[1],"tags":[],"class_list":["post-518","post","type-post","status-publish","format-standard","hentry","category-spring-2022"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p3kCtT-8m","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/posts\/518","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/users\/333"}],"replies":[{"embeddable":true,"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/comments?post=518"}],"version-history":[{"count":2,"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/posts\/518\/revisions"}],"predecessor-version":[{"id":520,"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/posts\/518\/revisions\/520"}],"wp:attachment":[{"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/media?parent=518"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/categories?post=518"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/tags?post=518"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}