Limit Cycles Bifurcating from an Invisible Fold–Fold in Planar Piecewise Hamiltonian Systems

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.contributorUniversidade Federal de Itajubá-
Autor(es): dc.contributorUniversidade Estadual Paulista (Unesp)-
Autor(es): dc.creatorde Carvalho Braga, Denis-
Autor(es): dc.creatorFernandes da Fonseca, Alexander-
Autor(es): dc.creatorGonçalves, Luiz Fernando [UNESP]-
Autor(es): dc.creatorMello, Luis Fernando-
Data de aceite: dc.date.accessioned2022-02-22T00:25:04Z-
Data de disponibilização: dc.date.available2022-02-22T00:25:04Z-
Data de envio: dc.date.issued2020-12-11-
Data de envio: dc.date.issued2020-12-11-
Data de envio: dc.date.issued2019-12-31-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1007/s10883-020-09478-2-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/198626-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/198626-
Descrição: dc.descriptionThe aim of this article is twofold. Firstly, we study the existence of limit cycles in a family of piecewise smooth vector fields corresponding to an unfolding of an invisible fold–fold singularity. More precisely, given a positive integer k, we prove that this family has exactly k hyperbolic crossing limit cycles in a suitable neighborhood of this singularity. Secondly, we provide a complete study relating the existence and stability of these crossing limit cycles with the limit cycles of the family of smooth vector fields obtained by the regularization method. This relationship is obtained by studying the equivalence between the signs of the Lyapunov coefficients of the family of piecewise smooth vector fields and the ones of its regularization.-
Descrição: dc.descriptionInstituto de Matemática e Computação Universidade Federal de Itajubá, Avenida BPS 1303, Pinheirinho, CEP 37.500–903-
Descrição: dc.descriptionInstituto de Biociências Letras e Ciências Exatas UNESP, Rua Cristóvão Colombo, 2265, CEP 15054–000-
Descrição: dc.descriptionInstituto de Biociências Letras e Ciências Exatas UNESP, Rua Cristóvão Colombo, 2265, CEP 15054–000-
Idioma: dc.languageen-
Relação: dc.relationJournal of Dynamical and Control Systems-
???dc.source???: dc.sourceScopus-
Palavras-chave: dc.subjectBifurcation-
Palavras-chave: dc.subjectFold–fold singularity-
Palavras-chave: dc.subjectHamiltonian vector field-
Palavras-chave: dc.subjectLimit cycle-
Palavras-chave: dc.subjectPiecewise smooth vector field-
Palavras-chave: dc.subjectRegularization-
Título: dc.titleLimit Cycles Bifurcating from an Invisible Fold–Fold in Planar Piecewise Hamiltonian Systems-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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