Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/75204
Título: | Gluing orbit property and partial hyperbolicity |
Autor(es): | Bomfim, Thiago Torres, M. J. Varandas, Paulo |
Palavras-chave: | Gluing orbit property Specification Partial hyperbolicity Recurrence |
Data: | 2021 |
Editora: | Elsevier 1 |
Revista: | Journal of Differential Equations |
Resumo(s): | This article is a follow up of our recent works [7, 8], and here we discuss the relation between the gluing orbit property and partial hyperbolicity. First we prove that a partially hyperbolic diffeomorphism with two saddles with different index, and such that the stable manifold of one of these saddles coincides with the strongly stable leaf does not satisfy the gluing orbit property. In particular, the examples of C 1 -robustly transitive diffeomorphisms introduced by Man˜e [ ´ 20] do not satisfy the gluing orbit property. We also construct some families of partially hyperbolic skew-products satisfying the gluing orbit property and derive some estimates on their quantitative recurrence. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/75204 |
DOI: | 10.1016/j.jde.2020.09.040 |
ISSN: | 0022-0396 |
Versão da editora: | https://www.sciencedirect.com/science/article/abs/pii/S0022039620305350?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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GOPPH_BTV.pdf | 174,63 kB | Adobe PDF | Ver/Abrir |