| Full text | |
| Author(s): |
Total Authors: 4
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| Affiliation: | [1] Univ Estadual Campinas, Dept Matemat, BR-13083859 Campinas, SP - Brazil
[2] Univ Politecn Cataluna, Matemat Apliacada 1, Barcelona 08028 - Spain
[3] Inst Tecnol Aeronaut, Div Ciencias Fundamentais, Dept Matemat, BR-12228900 Sao Jose Dos Campos, SP - Brazil
Total Affiliations: 3
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| Document type: | Journal article |
| Source: | SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS; v. 19, n. 2, p. 1343-1371, 2020. |
| Web of Science Citations: | 0 |
| Abstract | |
We study the existence of periodic solutions in a class of planar Filippov systems obtained from non-autonomous periodic perturbations of reversible piecewise smooth differential systems. It is assumed that the unperturbed system presents a simple twofold cycle, which is characterized by a closed trajectory connecting a visible twofold singularity to itself. It is shown that under certain generic conditions the perturbed system has sliding and crossing periodic solutions. In order to get our results, Melnikov's ideas are applied together with tools from the geometric singular perturbation theory. Finally, a study of a perturbed piecewise Hamiltonian model is performed. (AU) | |
| FAPESP's process: | 18/13481-0 - Geometry of control, dynamical and stochastic systems |
| Grantee: | Marco Antônio Teixeira |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 13/21078-8 - Periodic solutions dor discontinuous dynamical systems with symmetry |
| Grantee: | Iris de Oliveira Zeli |
| Support Opportunities: | Scholarships abroad - Research Internship - Post-doctor |
| FAPESP's process: | 19/10269-3 - Ergodic and qualitative theories of dynamical systems II |
| Grantee: | Claudio Aguinaldo Buzzi |
| Support Opportunities: | Research Projects - Thematic Grants |