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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2021
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2107.01708 |
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| _version_ | 1866916911233630208 |
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| author | Arbieto, Alexander Artigue, Alfonso Rego, Elias |
| author_facet | Arbieto, Alexander Artigue, Alfonso Rego, Elias |
| contents | In this work we introduce and explore a rescaled-theory of local stable and unstable sets for rescaled-expansive flows and its applications to topological entropy. We introduce a rescaled version of the local unstable sets and the unstable points. We find conditions for points of the phase space to exhibit non-trivial connected pieces of such unstable sets. We apply these results to the problem of proving positive topological entropy for rescaled-expansive flows with non-singular Lyapunov stable sets. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2107_01708 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Rescaled-Expansive Flows: Unstable Sets and Topological Entropy Arbieto, Alexander Artigue, Alfonso Rego, Elias Dynamical Systems Primary code 37B05, Secundary code 37C70 In this work we introduce and explore a rescaled-theory of local stable and unstable sets for rescaled-expansive flows and its applications to topological entropy. We introduce a rescaled version of the local unstable sets and the unstable points. We find conditions for points of the phase space to exhibit non-trivial connected pieces of such unstable sets. We apply these results to the problem of proving positive topological entropy for rescaled-expansive flows with non-singular Lyapunov stable sets. |
| title | Rescaled-Expansive Flows: Unstable Sets and Topological Entropy |
| topic | Dynamical Systems Primary code 37B05, Secundary code 37C70 |
| url | https://arxiv.org/abs/2107.01708 |