Crossing limit cycles in piecewise smooth Kolmogorov systems: An application to Palomba's model

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MetadadosDescriçãoIdioma
Autor(es): dc.contributorUniversidade de São Paulo (USP)-
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.contributorUniversidade Estadual de Campinas (UNICAMP)-
Autor(es): dc.contributorUniversity of Texas at Dallas-
Autor(es): dc.creatorCarvalho, Yagor Romano-
Autor(es): dc.creatorGouveia, Luiz F.S.-
Autor(es): dc.creatorMakarenkov, Oleg-
Data de aceite: dc.date.accessioned2025-08-21T22:58:14Z-
Data de disponibilização: dc.date.available2025-08-21T22:58:14Z-
Data de envio: dc.date.issued2025-04-29-
Data de envio: dc.date.issued2025-04-01-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1016/j.cnsns.2025.108646-
Fonte completa do material: dc.identifierhttps://hdl.handle.net/11449/304977-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/304977-
Descrição: dc.descriptionIn this paper, we study the number of isolated crossing periodic orbits, so-called crossing limit cycles, for a class of piecewise smooth Kolmogorov systems defined in two zones separated by a straight line. In particular, we study the number of crossing limit cycles of small amplitude. They are all nested and surround one equilibrium point or a sliding segment. We denote by MpKc(n) the maximum number of crossing limit cycles bifurcating from the equilibrium point via a degenerate Hopf bifurcation for a piecewise smooth Kolmogorov systems of degree n=m+1. We make a progress towards the determination of the lower bounds MKp(n) of crossing limit cycles bifurcating from the equilibrium point via a degenerate Hopf bifurcation for a piecewise smooth Kolmogorov system of degree n. Specifically, we shot that MpKc(2)≥1, MpKc(3)≥12, and MpKc(4)≥18. In particular, we show at least one crossing limit cycle in Palomba's economics model, considering it from a piecewise smooth point of view. To our knowledge, these are the best quotes of limit cycles for piecewise smooth polynomial Kolmogorov systems in the literature.-
Descrição: dc.descriptionMathematics Department Universidade de São Paulo-
Descrição: dc.descriptionUNESP-
Descrição: dc.descriptionUNICAMP-
Descrição: dc.descriptionUniversity of Texas at Dallas-
Descrição: dc.descriptionUNESP-
Idioma: dc.languageen-
Relação: dc.relationCommunications in Nonlinear Science and Numerical Simulation-
???dc.source???: dc.sourceScopus-
Palavras-chave: dc.subjectCenter-focus-
Palavras-chave: dc.subjectCyclicity-
Palavras-chave: dc.subjectKolmogorov systems-
Palavras-chave: dc.subjectLimit cycles-
Palavras-chave: dc.subjectLotka–Volterra systems-
Palavras-chave: dc.subjectLyapunov quantities-
Palavras-chave: dc.subjectWeak-focus order-
Título: dc.titleCrossing limit cycles in piecewise smooth Kolmogorov systems: An application to Palomba's model-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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