Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/57416
Título: | On the periodic orbits, shadowing and strong transitivity of continuous flows |
Autor(es): | Bessa, Mário Torres, M. J. Varandas, Paulo |
Palavras-chave: | Gluing orbit property Shadowing Periodic orbits |
Data: | Out-2018 |
Editora: | Elsevier |
Revista: | Nonlinear Analysis |
Citação: | Bessa, M., Torres, M. J., & Varandas, P. (2018, October). On the periodic orbits, shadowing and strong transitivity of continuous flows. Nonlinear Analysis. Elsevier BV. http://doi.org/10.1016/j.na.2018.06.002 |
Resumo(s): | We prove that chaotic flows (i.e. flows that satisfy the shadowing property and have a dense subset of periodic orbits) satisfy a reparametrized gluing orbit property similar to the one introduced in [7]. In particular, these are strongly transitive in balls of uniform radius. We also prove that the shadowing property for a flow and a generic time-t map, and having a dense subset of periodic orbits hold for a C0-Baire generic subset of Lipschitz vector fields, that generate continuous flows. Similar results also hold for C0-generic homeomorphisms and, in particular, we deduce that chain recurrent classes of C0-generic homeomorphisms have the gluing orbit property. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/57416 |
DOI: | 10.1016/j.na.2018.06.002 |
ISSN: | 0362-546X |
Versão da editora: | https://www.sciencedirect.com/science/article/pii/S0362546X18301536 |
Arbitragem científica: | yes |
Acesso: | Acesso restrito UMinho |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
---|---|---|---|---|
BTV.pdf Acesso restrito! | 278,57 kB | Adobe PDF | Ver/Abrir |