On the Closing Lemma for planar piecewise smooth vector fields
Carregando...
Data
2016-12-01
Autores
de Carvalho, Tiago [UNESP]
Título da Revista
ISSN da Revista
Título de Volume
Editor
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
Closing Lemma, Nonsmooth vector field, Nonwandering points, Recurrent points
Como citar
Journal des Mathematiques Pures et Appliquees, v. 106, n. 6, p. 1174-1185, 2016.