Piecewise holomorphic systems

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.creatorGouveia, Luiz F.S.-
Autor(es): dc.creatorRondón, Gabriel-
Autor(es): dc.creatorSilva, Paulo R. da-
Data de aceite: dc.date.accessioned2025-08-21T22:34:38Z-
Data de disponibilização: dc.date.available2025-08-21T22:34:38Z-
Data de envio: dc.date.issued2023-03-01-
Data de envio: dc.date.issued2023-03-01-
Data de envio: dc.date.issued2022-09-25-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1016/j.jde.2022.05.027-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/240274-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/240274-
Descrição: dc.descriptionHolomorphic systems are well known in the literature due to their important properties: reversibility, integrability, non-existence of limit cycles and complete knowledge of the phase portraits around their non-essential singularities. In this paper we are concerned about studying the piecewise holomorphic systems (PWHS). Specifically, we study the sewing, sliding, and tangential regions of the PWHS and we classify the typical singularities of these systems. Also, we are interested in understanding how the trajectories of the regularized system associated with the PWHS transit through the region of regularization. In addition, we know that holomorphic systems have no limit cycles, but piecewise holomorphic systems do, so we provide conditions to ensure the existence of limit cycles of these systems. Additional conditions are provided to guarantee the stability and uniqueness of such limit cycles.-
Descrição: dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)-
Descrição: dc.descriptionCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)-
Descrição: dc.descriptionSão Paulo State University (Unesp) Institute of Biosciences Humanities and Exact Sciences, Rua C. Colombo, 2265-
Descrição: dc.descriptionSão Paulo State University (Unesp) Institute of Biosciences Humanities and Exact Sciences, Rua C. Colombo, 2265-
Descrição: dc.descriptionFAPESP: 2019/10269-3-
Descrição: dc.descriptionFAPESP: 2020/04717-0-
Descrição: dc.descriptionFAPESP: 2020/06708-9-
Descrição: dc.descriptionCAPES: 88881.310741/2018-01-
Descrição: dc.descriptionCAPES: 88887.310463/2018-00-
Formato: dc.format440-472-
Idioma: dc.languageen-
Relação: dc.relationJournal of Differential Equations-
???dc.source???: dc.sourceScopus-
Palavras-chave: dc.subjectLimit cycles-
Palavras-chave: dc.subjectPiecewise holomorphic systems-
Palavras-chave: dc.subjectRegularization-
Título: dc.titlePiecewise holomorphic systems-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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