Limit cycles bifurcating from discontinuous centres
Carregando...
Data
2017-08-01
Orientador
Coorientador
Pós-graduação
Curso de graduação
Título da Revista
ISSN da Revista
Título de Volume
Editor
Oxford Univ Press
Tipo
Artigo
Direito de acesso
Acesso aberto
Resumo
In this article, we study limit cycles in discontinuous piecewise linear vector fields in R-2 and R-3. More precisely, we address the problem of understanding the dynamics around a degenerated two-fold singularity in R-2 and R-3, where it is also called T-singularity, which behave as discontinuous centres after suitable perturbations of the separation boundaries. We prove that, in both systems, it is possible to obtain k hyperbolic limit cycles bifurcating from these discontinuous centres, for any positive integer k. The same holds if k is infinity.
Descrição
Palavras-chave
Idioma
Inglês
Como citar
Ima Journal Of Applied Mathematics. Oxford: Oxford Univ Press, v. 82, n. 4, p. 849-863, 2017.
