Crossing limit cycles of planar discontinuous piecewise differential systems formed by isochronous centres

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.contributorUniversidade de São Paulo (USP)-
Autor(es): dc.contributorUniversitat Autònoma de Barcelona-
Autor(es): dc.creatorBuzzi, Claudio A.-
Autor(es): dc.creatorRomano Carvalho, Yagor-
Autor(es): dc.creatorLlibre, Jaume-
Data de aceite: dc.date.accessioned2025-08-21T21:53:39Z-
Data de disponibilização: dc.date.available2025-08-21T21:53:39Z-
Data de envio: dc.date.issued2023-07-29-
Data de envio: dc.date.issued2023-07-29-
Data de envio: dc.date.issued2021-12-31-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1080/14689367.2022.2122779-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/246068-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/246068-
Descrição: dc.descriptionThese last years an increasing interest appeared in studying the planar discontinuous piecewise differential systems motivated by the rich applications in modelling real phenomena. The understanding of the dynamics of these systems has many difficulties. One of them is the study of their limit cycles. In this paper, we study the maximum number of crossing limit cycles of some classes of planar discontinuous piecewise differential systems separated by a straight line and formed by combinations of linear centres (consequently isochronous) and cubic isochronous centres with homogeneous nonlinearities. For these classes of planar discontinuous piecewise differential systems we solved the extension of the 16th Hilbert problem, i.e. we provide an upper bound for their maximum number of crossing limit cycles.-
Descrição: dc.descriptionMathematics Department Universidade Estadual Paulista Julio de Mesquita Filho-
Descrição: dc.descriptionMathematics Department Universidade de São Paulo-
Descrição: dc.descriptionMathematics Department Universitat Autònoma de Barcelona-
Descrição: dc.descriptionMathematics Department Universidade Estadual Paulista Julio de Mesquita Filho-
Formato: dc.format710-728-
Idioma: dc.languageen-
Relação: dc.relationDynamical Systems-
???dc.source???: dc.sourceScopus-
Palavras-chave: dc.subjectcubic isochronous centres with homogeneous nonlinearities-
Palavras-chave: dc.subjectdiscontinuous piecewise differential systems-
Palavras-chave: dc.subjectfirst integrals-
Palavras-chave: dc.subjectLimit cycles-
Palavras-chave: dc.subjectlinear centres-
Título: dc.titleCrossing limit cycles of planar discontinuous piecewise differential systems formed by isochronous centres-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

Não existem arquivos associados a este item.