Expansiveness and hyperbolicity in convex billiards

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.creatorBessa, Mário-
Autor(es): dc.creatorDias, João Lopes-
Autor(es): dc.creatorTorres, Maria Joana-
Data de aceite: dc.date.accessioned2025-08-21T15:12:10Z-
Data de disponibilização: dc.date.available2025-08-21T15:12:10Z-
Data de envio: dc.date.issued2023-05-30-
Data de envio: dc.date.issued2023-05-30-
Data de envio: dc.date.issued2020-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/10400.2/13899-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/10400.2/13899-
Descrição: dc.descriptionWe say that a convex planar billiard table B is C2-stably expansive on a fixed open subset U of the phase space if its billiard map f_B is expansive on the maximal invariant set Λ_{B,U}, and this property holds under C2-perturbations of the billiard table. In this note we prove for such billiards that the closure of the set of periodic points of f_B in Λ_{B,U} is uniformly hyperbolic. In addition, we show that this property also holds for a generic choice among billiards which are expansive.-
Descrição: dc.descriptioninfo:eu-repo/semantics/publishedVersion-
Formato: dc.formatapplication/pdf-
Idioma: dc.languageen-
Publicador: dc.publisherSpringer-
Relação: dc.relationCenter of Mathematics of the University of Minho-
Relação: dc.relationCenter of Mathematics of the University of Minho-
Relação: dc.relationhttps://link.springer.com/article/10.1134/S1560354721060125-
Palavras-chave: dc.subjectConvex planar billiards-
Palavras-chave: dc.subjectHyperbolic sets-
Palavras-chave: dc.subjectExpansiveness-
Título: dc.titleExpansiveness and hyperbolicity in convex billiards-
Aparece nas coleções:Repositório Aberto - Universidade Aberta (Portugal)

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