| Full text | |
| Author(s): |
Total Authors: 3
|
| Affiliation: | [1] Univ Estadual Campinas, Dept Matemat, Rua Sergio Baruque Holanda 651, BR-13083859 Campinas, SP - Brazil
Total Affiliations: 1
|
| Document type: | Journal article |
| Source: | Journal of Dynamics and Differential Equations; v. 29, n. 4, p. 1569-1583, DEC 2017. |
| Web of Science Citations: | 1 |
| Abstract | |
In this paper we provide a full topological and ergodic description of the dynamics of Filippov systems nearby a sliding Shilnikov orbit . More specifically we prove that the first return map, defined nearby , is topologically conjugate to a Bernoulli shift with infinite topological entropy. In particular, we see that for each it has infinitely many periodic points with period m. We also study the perturbed system and obtain similar results. (AU) | |
| FAPESP's process: | 15/02517-6 - Study of minimal sets in nonsmooth dynamical systems |
| Grantee: | Douglas Duarte Novaes |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 16/11471-2 - Sliding motion in discontinuous dynamical systems: periodic solutions, homoclinic connections, and nonlinear sliding modes |
| Grantee: | Douglas Duarte Novaes |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 16/05384-0 - Dynamics of Foliations and Rigidity of Ergodic Measures |
| Grantee: | Gabriel Ponce |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 15/02731-8 - Rigidity of partially hyperbolic dynamical systems and Anosov systems |
| Grantee: | Gabriel Ponce |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |