| Full text | |
| Author(s): |
Braga, Denis de Carvalho
;
Carvalho, Tiago
;
Mello, Luis Fernando
Total Authors: 3
|
| Document type: | Journal article |
| Source: | IMA JOURNAL OF APPLIED MATHEMATICS; v. 82, n. 4, p. 849-863, AUG 2017. |
| Web of Science Citations: | 2 |
| Abstract | |
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) | |
| FAPESP's process: | 14/02134-7 - Qualitative theory and bifurcations of piecewise smooth vector fields |
| Grantee: | Tiago de Carvalho |
| Support Opportunities: | Regular Research Grants |