Some hyperbolicity revisited and robust transitivity
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866909989066506240 |
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| author | Piñeyrúa, Luis Pedro |
| author_facet | Piñeyrúa, Luis Pedro |
| contents | In this article we revisit the notion of \textit{Some Hyperbolicity} introduced by Pujals and Sambarino in \cite{PuSa}. We present a more general definition, that in particular can be applied to the symplectic context (something that the previous couldn't). As an application we construct $C^1$ robustly transitive derived from Anosov diffeomorphisms with mixed behaviour on center leaves. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_01914 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Some hyperbolicity revisited and robust transitivity Piñeyrúa, Luis Pedro Dynamical Systems In this article we revisit the notion of \textit{Some Hyperbolicity} introduced by Pujals and Sambarino in \cite{PuSa}. We present a more general definition, that in particular can be applied to the symplectic context (something that the previous couldn't). As an application we construct $C^1$ robustly transitive derived from Anosov diffeomorphisms with mixed behaviour on center leaves. |
| title | Some hyperbolicity revisited and robust transitivity |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2302.01914 |