Subharmonic bifurcations near infinity

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.creatorMessias, Marcelo-
Data de aceite: dc.date.accessioned2025-08-21T16:29:11Z-
Data de disponibilização: dc.date.available2025-08-21T16:29:11Z-
Data de envio: dc.date.issued2022-04-29-
Data de envio: dc.date.issued2022-04-29-
Data de envio: dc.date.issued2004-12-01-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1007/BF02972684-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/227628-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/227628-
Descrição: dc.descriptionIn this paper are considered periodic perturbations, depending on two parameters, of planar polynomial vector fields having an annulus of large amplitude periodic orbits, which accumulate on a symmetric infinite heteroclinic cycle. Such periodic orbits and the heteroclinic trajectory can be seen only by the global consideration of the polynomial vector fields on the whole plane, and not by their restrictions to any compact region. The global study envolving infinity is performed via the Poincaré Compactification. It is shown that, for certain types of periodic perturbations, one can seek, in a neighborhood of the origin in the parameter plane, curves Cm of subharmonic bifurcations, to which the periodically perturbed system has subharmonics of order m, for sufficiently large integer m. Also, in the quadratic case, it is shown that, as m tends to infinity, the tangent lines of the curves Cm, at the origin, approach the curve C of bifurcation to heteroclinic tangencies, related to the periodic perturbation of the infinite heteroclinic cycle. The results are similar to those stated by Chow, Hale and Mallet-Paret in [4], although the type of systems and perturbations considered there are quite different, since they are restricted to compact regions of the plane.-
Descrição: dc.descriptionDepartment of Mathematics, Statistics and Computing State University of São Paulo at P.Prudente - FCT/UNESP-
Descrição: dc.descriptionDepartment of Mathematics, Statistics and Computing State University of São Paulo at P.Prudente - FCT/UNESP-
Formato: dc.format301-336-
Idioma: dc.languageen-
Relação: dc.relationQualitative Theory of Dynamical Systems-
???dc.source???: dc.sourceScopus-
Palavras-chave: dc.subjectPeriodic perturbations-
Palavras-chave: dc.subjectPolynomial systems-
Palavras-chave: dc.subjectSubharmonic bifurcations-
Título: dc.titleSubharmonic bifurcations near infinity-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

Não existem arquivos associados a este item.