Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/75225
Título: | Expansiveness and hyperbolicity in convex billiards |
Autor(es): | Bessa, Mário Dias, João Lopes Torres, M. J. |
Palavras-chave: | Convex planar billiards Hyperbolic sets Expansiveness |
Data: | 2021 |
Editora: | Springer |
Revista: | Regular and Chaotic Dynamics |
Resumo(s): | We say that a convex planar billiard table B is C^2-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) = ∩_(n∈Z ) f_B^n(U), and this property holds under C^2 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. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/75225 |
DOI: | 10.1134/S1560354721060125 |
ISSN: | 1560-3547 |
e-ISSN: | 1468-4845 |
Versão da editora: | https://link.springer.com/article/10.1134/S1560354721060125 |
Arbitragem científica: | yes |
Acesso: | Acesso aberto |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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EHCB_BDT.pdf | 205,95 kB | Adobe PDF | Ver/Abrir |