On the Closing Lemma for planar piecewise smooth vector fields
Carregando...
Fontes externas
Fontes externas
Data
Autores
Orientador
Coorientador
Pós-graduação
Curso de graduação
Título da Revista
ISSN da Revista
Título de Volume
Editor
Elsevier
Tipo
Artigo
Direito de acesso
Acesso aberto
Fontes externas
Fontes externas
Resumo
A large number of papers deal with “Closing Lemmas” for Cr-vector fields (and Cr-diffeomorphisms). Here, we introduce this subject and formalize the terminology about nontrivially recurrent points and nonwandering points for the context of planar piecewise smooth vector fields. A global bifurcation analysis of a special family of piecewise smooth vector fields presenting a nonwandering set with nontrivial recurrence is performed. As a consequence, we are able to say that the Classical and the Improved Closing Lemmas are false for this scenario.
Descrição
Palavras-chave
Idioma
Inglês
Citação
Journal des Mathematiques Pures et Appliquees, v. 106, n. 6, p. 1174-1185, 2016.
