Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/64189
Título: | There are no proper topological hyperbolic homoclinic classes for area-preserving maps |
Autor(es): | Bessa, Mário Torres, M. J. |
Palavras-chave: | Shadowing Expansiveness Topological dynamics Homoclinic classes |
Data: | 2020 |
Editora: | Cambridge University Press |
Revista: | Proceedings of the Edinburgh Mathematical Society |
Resumo(s): | We begin by defining a homoclinic class for homeomorphisms. Then we prove that if a topological homoclinic class \Lambda associated to an area-preserving homeomorphism f on a surface M is topologically hyperbolic (i.e. has the shadowing and expansiveness properties), then \Lambda=M and f is an Anosov homeomorphism. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/64189 |
DOI: | 10.1017/S0013091519000282 |
ISSN: | 0013-0915 |
e-ISSN: | 1464-3839 |
Versão da editora: | https://www.cambridge.org/core/journals/proceedings-of-the-edinburgh-mathematical-society/article/there-are-no-proper-topological-hyperbolic-homoclinic-classes-for-areapreserving-maps/4232BAC3B800704E53605E9CAF044072 |
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 | |
---|---|---|---|---|
BessaTorres.pdf | 603,39 kB | Adobe PDF | Ver/Abrir |