Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/75232
Título: | Topological aspects of incompressible flows |
Autor(es): | Bessa, Mário Torres, M. J. Varandas, Paulo |
Palavras-chave: | Periodic points Topological dynamics Periodic shadowing Closing lemma Gluing orbit property |
Data: | 2021 |
Editora: | Elsevier 1 |
Revista: | Journal of Differential Equations |
Resumo(s): | In this article we approach some of the basic questions in topological dynamics, concerning periodic points, transitivity, the shadowing and the gluing orbit properties, in the context of C0-incompressible flows generated by Lipschitz vector fields. We prove that a C0-generic incompressible and fixed-point free flow satisfies the periodic shadowing property, it is transitive and has a dense set of periodic points in the non-wandering set. In particular, a C0-generic fixed-point free incompressible flow satisfies the reparametrized gluing orbit property. We also prove that C0-generic incompressible flows satisfy the general density theorem and the weak shadowing property, moreover these are transitive. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/75232 |
DOI: | 10.1016/j.jde.2021.05.030 |
ISSN: | 0022-0396 |
Versão da editora: | https://www.sciencedirect.com/science/article/abs/pii/S002203962100320X?via%3Dihub |
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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TAIF_BTV.pdf | 1,1 MB | Adobe PDF | Ver/Abrir |