Stability and Cyclicity of Polycycles in Non-smooth Planar Vector Fields

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MetadadosDescriçãoIdioma
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.creatorSantana, Paulo-
Data de aceite: dc.date.accessioned2025-08-21T22:40:10Z-
Data de disponibilização: dc.date.available2025-08-21T22:40:10Z-
Data de envio: dc.date.issued2025-04-29-
Data de envio: dc.date.issued2023-11-30-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1007/s12346-023-00838-4-
Fonte completa do material: dc.identifierhttps://hdl.handle.net/11449/297873-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/297873-
Descrição: dc.descriptionIn this paper we extend three results about polycycles (also known as graphs) of planar smooth vector field to planar non-smooth vector fields (also known as piecewise vector fields, or Filippov systems). The polycycles considered here may contain hyperbolic saddles, semi-hyperbolic saddles, saddle-nodes and tangential singularities of any degree. We determine when the polycycle is stable or unstable. We prove the bifurcation of at most one limit cycle in some conditions and at least one limit cycle for each singularity in other conditions.-
Descrição: dc.descriptionIBILCE–UNESP, São Paulo-
Descrição: dc.descriptionIBILCE–UNESP, São Paulo-
Idioma: dc.languageen-
Relação: dc.relationQualitative Theory of Dynamical Systems-
???dc.source???: dc.sourceScopus-
Palavras-chave: dc.subjectAgeing-
Palavras-chave: dc.subjectFilippov-
Palavras-chave: dc.subjectHidden dynamics-
Palavras-chave: dc.subjectMixed-mode-
Palavras-chave: dc.subjectNonsmooth-
Palavras-chave: dc.subjectPiecewise-
Palavras-chave: dc.subjectSwitching-
Título: dc.titleStability and Cyclicity of Polycycles in Non-smooth Planar Vector Fields-
Tipo de arquivo: dc.typelivro digital-
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