On the Number of Limit Cycles for Piecewise Polynomial Holomorphic Systems

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MetadadosDescriçãoIdioma
Autor(es): dc.contributorUniversitat Autònoma de Barcelona-
Autor(es): dc.contributorCentre de Recerca Matemàtica-
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.creatorGasull, Armengol-
Autor(es): dc.creatorRondón, Gabriel-
Autor(es): dc.creatorda Silva, Paulo Ricardo-
Data de aceite: dc.date.accessioned2025-08-21T15:44:43Z-
Data de disponibilização: dc.date.available2025-08-21T15:44:43Z-
Data de envio: dc.date.issued2025-04-29-
Data de envio: dc.date.issued2023-12-31-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1137/23M1620922-
Fonte completa do material: dc.identifierhttps://hdl.handle.net/11449/299463-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/299463-
Descrição: dc.descriptionIn this paper, we are concerned with determining lower bounds of the number of limit cycles for piecewise polynomial holomorphic systems with a straight line of discontinuity. We approach this problem with different points of view. Initially, we study the number of zeros of the first- and second-order averaging functions. We also use the Lyapunov quantities to produce limit cycles appearing from a monodromic equilibrium point via a degenerated Andronov-Hopf type bifurcation, adding at the very end the sliding effects. Finally, we use the Poincaré-Miranda theorem for obtaining an explicit piecewise linear holomorphic system with 3 limit cycles, a result that improves the known examples in the literature that had a single limit cycle.-
Descrição: dc.descriptionDepartament de Matemàtiques Edifici C Universitat Autònoma de Barcelona, Bellaterra-
Descrição: dc.descriptionCentre de Recerca Matemàtica, Campus de Bellaterra, Bellaterra-
Descrição: dc.descriptionInstitute of Biosciences Humanities and Exact Sciences São Paulo State University (Unesp), 2265, S. J. Rio Preto-
Descrição: dc.descriptionInstitute of Biosciences Humanities and Exact Sciences São Paulo State University (Unesp), 2265, S. J. Rio Preto-
Formato: dc.format2593-2622-
Idioma: dc.languageen-
Relação: dc.relationSIAM Journal on Applied Dynamical Systems-
???dc.source???: dc.sourceScopus-
Palavras-chave: dc.subjectaveraging method-
Palavras-chave: dc.subjectlimit cycles-
Palavras-chave: dc.subjectLyapunov quantities-
Palavras-chave: dc.subjectpiecewise polynomial holomorphic system-
Palavras-chave: dc.subjectPoincaré-Miranda theorem-
Título: dc.titleOn the Number of Limit Cycles for Piecewise Polynomial Holomorphic Systems-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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