Dynamics of conservative Bykov cycles: tangencies, generalized Cocoon bifurcations and elliptic solutions

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.creatorBessa, Mário-
Autor(es): dc.creatorRodrigues, Alexandre A. P.-
Data de aceite: dc.date.accessioned2025-08-21T15:07:18Z-
Data de disponibilização: dc.date.available2025-08-21T15:07:18Z-
Data de envio: dc.date.issued2023-05-25-
Data de envio: dc.date.issued2023-05-25-
Data de envio: dc.date.issued2016-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/10400.2/13843-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/10400.2/13843-
Descrição: dc.descriptionThis paper presents a mechanism for the coexistence of hyperbolic and non-hyperbolic dynamics arising in a neighbourhood of a conservative Bykov cycle where trajectories turn in opposite directions near the two saddle-foci. We show that within the class of divergence-free vector fields that preserve the cycle, tangencies of the invariant manifolds of two hyperbolic saddle-foci densely occur. The global dynamics is persistently dominated by heteroclinic tangencies and by the existence of infinitely many elliptic points coexisting with non-uniformly hyperbolic suspended horseshoes. A generalized version of the Cocoon bifurcations for conservative systems is obtained.-
Descrição: dc.descriptioninfo:eu-repo/semantics/publishedVersion-
Formato: dc.formatapplication/pdf-
Idioma: dc.languageen-
Publicador: dc.publisherElsevier-
Relação: dc.relationCenter of Mathematics and Applications of University of Beira Interior-
Relação: dc.relationCentre for Mathematics of the University of Porto-
Relação: dc.relationBIFURCAÇÕES GENÉRICAS DE EQUAÇÕES DIFERENCIAIS ORDINÁRIAS-
Relação: dc.relationhttps://www.sciencedirect.com/science/article/pii/S002203961630016X-
Palavras-chave: dc.subjectHeteroclinic bifurcations-
Palavras-chave: dc.subjectTangencies-
Palavras-chave: dc.subjectGeneralized Cocoon bifurcations-
Palavras-chave: dc.subjectChirality-
Palavras-chave: dc.subjectElliptic solutions-
Título: dc.titleDynamics of conservative Bykov cycles: tangencies, generalized Cocoon bifurcations and elliptic solutions-
Aparece nas coleções:Repositório Aberto - Universidade Aberta (Portugal)

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