| Texto completo | |
| Autor(es): |
Braga, Denis de Carvalho
;
Carvalho, Tiago
;
Mello, Luis Fernando
Número total de Autores: 3
|
| Tipo de documento: | Artigo Científico |
| Fonte: | IMA JOURNAL OF APPLIED MATHEMATICS; v. 82, n. 4, p. 849-863, AUG 2017. |
| Citações Web of Science: | 2 |
| 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. (AU) | |
| Processo FAPESP: | 14/02134-7 - Teoria qualitativa e bifurcações de campos de vetores suaves por partes |
| Beneficiário: | Tiago de Carvalho |
| Modalidade de apoio: | Auxílio à Pesquisa - Regular |