| Full text | |
| Author(s): |
Total Authors: 3
|
| Affiliation: | [1] Univ Fed ABC, Ctr Matemat Computacao & Cognicao, BR-09210170 Santo Andre, SP - Brazil
[2] Univ Estadual Paulista, Dept Matemat, BR-15054000 Sao Jose Do Rio Preto, SP - Brazil
Total Affiliations: 2
|
| Document type: | Journal article |
| Source: | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS; v. 25, n. 4 APR 2015. |
| Web of Science Citations: | 1 |
| Abstract | |
Lima and Llibre {[}2012] have studied a class of planar continuous piecewise linear vector fields with three zones. Using the Poincare map, they proved that this class admits always a unique limit cycle, which is hyperbolic. The class studied in {[}Lima \& Llibre, 2012] belongs to a larger set of planar continuous piecewise linear vector fields with three zones that can be separated into four other classes. Here, we consider some of these classes and we prove that some of them always admit a unique limit cycle, which is hyperbolic. However we find a class that does not have limit cycles. (AU) | |
| FAPESP's process: | 13/15941-5 - Discontinuous and continuous dynamical systems |
| Grantee: | Maurício Firmino Silva Lima |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 11/13152-8 - Qualitative theory of polynomial vector fields |
| Grantee: | Cláudio Gomes Pessoa |
| Support Opportunities: | Regular Research Grants |