| Full text | |
| Author(s): |
Total Authors: 3
|
| Affiliation: | [1] IBILCE UNESP, Dept Matemat, BR-15054000 Sao Paulo - Brazil
[2] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona - Spain
Total Affiliations: 2
|
| Document type: | Journal article |
| Source: | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS; v. 21, n. 11, p. 3181-3194, NOV 2011. |
| Web of Science Citations: | 2 |
| Abstract | |
We study the bifurcation of limit cycles from the periodic orbits of a two-dimensional (resp. four-dimensional) linear center in R(n) perturbed inside a class of discontinuous piecewise linear differential systems. Our main result shows that at most 1 (resp. 3) limit cycle can bifurcate up to first-order expansion of the displacement function with respect to the small parameter. This upper bound is reached. For proving these results, we use the averaging theory in a form where the differentiability of the system is not needed. (AU) | |
| FAPESP's process: | 07/07957-8 - Differential equations with impasses and singular perturbation |
| Grantee: | Pedro Toniol Cardin |
| Support Opportunities: | Scholarships in Brazil - Doctorate |
| FAPESP's process: | 07/08707-5 - Study of minimal sets for discontinuous systems via singular perturbations |
| Grantee: | Tiago de Carvalho |
| Support Opportunities: | Scholarships in Brazil - Doctorate |