| Full text | |
| Author(s): |
Antunes, A. A.
;
Carvalho, T.
;
Gomide, O. M. L.
Total Authors: 3
|
| Document type: | Journal article |
| Source: | NONLINEAR ANALYSIS-HYBRID SYSTEMS; v. 53, p. 9-pg., 2024-04-09. |
| Abstract | |
In this paper we provide a positive answer for the C 0 -Closing Lemma in the context of ndimensional piecewise smooth vector fields governed by the Filippov's rules. So, given a model presenting a nontrivially recurrent point it is possible to consider a C 0 -close perturbation of it possessing a closed trajectory. Also, we conclude the paper proving the existence of a closed orbit around a T -singularity. (AU) | |
| FAPESP's process: | 19/10450-0 - Piecewise smooth vector fields: Closing Lemmas, shifts and horseshoe dynamics. |
| Grantee: | Tiago de Carvalho |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 17/18255-6 - Closing lemmas and shifts for piecewise smooth vector fields |
| Grantee: | Andre do Amaral Antunes |
| Support Opportunities: | Scholarships in Brazil - Doctorate (Direct) |
| FAPESP's process: | 21/12395-6 - Piecewise smooth vector fields: theory and applications |
| Grantee: | Tiago de Carvalho |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 19/10269-3 - Ergodic and qualitative theories of dynamical systems II |
| Grantee: | Claudio Aguinaldo Buzzi |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 22/02819-6 - Intermittent vector fields: theoretical aspects and applications |
| Grantee: | Tiago de Carvalho |
| Support Opportunities: | Research Grants - Initial Project |