| Full text | |
| Author(s): |
Silva Lima, Mauricio Firmino
;
Pessoa, Claudio
;
Pereira, Weber F.
Total Authors: 3
|
| Document type: | Journal article |
| Source: | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS; v. 27, n. 2 FEB 2017. |
| Web of Science Citations: | 1 |
| Abstract | |
We study a class of planar continuous piecewise linear vector fields with three zones. Using the Poincare map and some techniques for proving the existence of limit cycles for smooth differential systems, we prove that this class admits at least two limit cycles that appear by perturbations of a period annulus. Moreover, we describe the bifurcation of the limit cycles for this class through two examples of two-parameter families of piecewise linear vector fields with three zones. (AU) | |
| FAPESP's process: | 13/15941-5 - Discontinuous and continuous dynamical systems |
| Grantee: | Maurício Firmino Silva Lima |
| Support Opportunities: | Regular Research Grants |