Persistence of periodic orbits with sliding or sewing by singular perturbation
dc.contributor.author | Cardin, Pedro T. [UNESP] | |
dc.contributor.author | de Moraes, Jaime R. [UNESP] | |
dc.contributor.author | da Silva, Paulo R. [UNESP] | |
dc.contributor.institution | Universidade Estadual Paulista (Unesp) | |
dc.date.accessioned | 2018-12-11T16:57:08Z | |
dc.date.available | 2018-12-11T16:57:08Z | |
dc.date.issued | 2015-01-01 | |
dc.description.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. | en |
dc.description.affiliation | Departamento de Matemática, Faculdade de Engenharia de Ilha Solteira, UNESP - Univ. Estadual Paulista, Rua Rio de Janeiro, 266 | |
dc.description.affiliation | Departamento de Matemática, Instituto de Biociências Letras e Ciências Exatas, UNESP - Univ. Estadual Paulista, Rua C. Colombo, 2265 | |
dc.description.affiliationUnesp | Departamento de Matemática, Faculdade de Engenharia de Ilha Solteira, UNESP - Univ. Estadual Paulista, Rua Rio de Janeiro, 266 | |
dc.description.affiliationUnesp | Departamento de Matemática, Instituto de Biociências Letras e Ciências Exatas, UNESP - Univ. Estadual Paulista, Rua C. Colombo, 2265 | |
dc.format.extent | 1166-1182 | |
dc.identifier | http://dx.doi.org/10.1016/j.jmaa.2014.10.023 | |
dc.identifier.citation | Journal of Mathematical Analysis and Applications, v. 423, n. 2, p. 1166-1182, 2015. | |
dc.identifier.doi | 10.1016/j.jmaa.2014.10.023 | |
dc.identifier.issn | 1096-0813 | |
dc.identifier.issn | 0022-247X | |
dc.identifier.lattes | 8032879915906661 | |
dc.identifier.orcid | 0000-0002-8723-8200 | |
dc.identifier.scopus | 2-s2.0-84922673903 | |
dc.identifier.uri | http://hdl.handle.net/11449/171780 | |
dc.language.iso | eng | |
dc.relation.ispartof | Journal of Mathematical Analysis and Applications | |
dc.relation.ispartofsjr | 1,103 | |
dc.rights.accessRights | Acesso restrito | |
dc.source | Scopus | |
dc.subject | Filippov systems | |
dc.subject | Periodic motion with sliding or with sewing | |
dc.subject | Regularization | |
dc.subject | Singular perturbation | |
dc.title | Persistence of periodic orbits with sliding or sewing by singular perturbation | en |
dc.type | Artigo | |
unesp.author.lattes | 8032879915906661[1] | |
unesp.author.orcid | 0000-0002-8723-8200[1] | |
unesp.campus | Universidade Estadual Paulista (Unesp), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Preto | pt |
unesp.department | Matemática - FEIS | pt |
unesp.department | Matemática - IBILCE | pt |