| Full text | |
| Author(s): |
Total Authors: 3
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| Affiliation: | [1] UNESP Univ Estadual Paulista, Fac Engn Ilha Solteira, Dept Matemat, BR-15385000 Sao Paulo - Brazil
[2] UNESP Univ Estadual Paulista, Inst Biociencias Letras & Ciencias Exatas, Dept Matemat, BR-15054000 Sao Paulo - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | Journal of Mathematical Analysis and Applications; v. 423, n. 2, p. 1166-1182, MAR 15 2015. |
| Web of Science Citations: | 3 |
| Abstract | |
In this paper we deal with piecewise smooth singularly perturbed systems. We study the effect of singular perturbation when the phase portrait of the reduced problem has periodic orbits with sliding or sewing points. Counter-examples are used to show that in general, only one parameter is not sufficient to ensure the persistence of periodic orbits. With an additional parameter, derived from the Sotomayor-Teixeira regularization, we get conditions which guarantee the persistence. (C) 2014 Elsevier Inc. All rights reserved. (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: | 13/21947-6 - Geometric theory of the singularly perturbed differential equations |
| Grantee: | Pedro Toniol Cardin |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 10/17956-1 - Minimal Sets of Piecewise Linear Systems |
| Grantee: | Jaime Rezende de Moraes |
| Support Opportunities: | Scholarships in Brazil - Doctorate |