| Full text | |
| Author(s): |
Total Authors: 3
|
| Affiliation: | [1] Univ Estadual Paulista, IBILCE, BR-15054000 Sao Paulo - Brazil
[2] Univ Estadual Paulista, FC, BR-17033360 Sao Paulo - Brazil
Total Affiliations: 2
|
| Document type: | Journal article |
| Source: | PUBLICACIONS MATEMATIQUES; v. 62, n. 1, p. 113-131, 2018. |
| Web of Science Citations: | 3 |
| Abstract | |
In this paper some qualitative and geometric aspects of nonsmooth vector fields theory are discussed. A Poincare-Bendixson Theorem for a class of nonsmooth systems is presented. In addition, a minimal set in planar Filippov systems not predicted in classical Poincare-Bendixson theory and whose interior is non-empty is exhibited. The concepts of limit sets, recurrence, and minimal sets for nonsmooth systems are defined and compared with the classical ones. Moreover some differences between them are pointed out. (AU) | |
| FAPESP's process: | 13/24541-0 - Ergodic and qualitative theory of dynamical systems |
| Grantee: | Claudio Aguinaldo Buzzi |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 14/18508-3 - Minimal sets of piecewise differential systems in dimension 3 |
| Grantee: | Rodrigo Donizete Euzébio |
| Support Opportunities: | Scholarships abroad - Research Internship - Post-doctor |
| FAPESP's process: | 13/25828-1 - Minimal sets and invariant manifolds in piecewise smooth systems |
| Grantee: | Rodrigo Donizete Euzébio |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 14/02134-7 - Qualitative theory and bifurcations of piecewise smooth vector fields |
| Grantee: | Tiago de Carvalho |
| Support Opportunities: | Regular Research Grants |