Nonstandard analysis of asymptotic points of expansive systems
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866917867991072768 |
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| author | Artigue, Alfonso Ferrari, Luis Groisman, Jorge |
| author_facet | Artigue, Alfonso Ferrari, Luis Groisman, Jorge |
| contents | In this paper we apply techniques from nonstandard analysis to study expansive dynamical systems. Among other results, we provide a necessary and sufficient condition for an expansive homeomorphism on a compact metric space to admit doubly-asymptotic points in terms of the decay of expansivity constants of the powers of the system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_10201 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Nonstandard analysis of asymptotic points of expansive systems Artigue, Alfonso Ferrari, Luis Groisman, Jorge Dynamical Systems Logic In this paper we apply techniques from nonstandard analysis to study expansive dynamical systems. Among other results, we provide a necessary and sufficient condition for an expansive homeomorphism on a compact metric space to admit doubly-asymptotic points in terms of the decay of expansivity constants of the powers of the system. |
| title | Nonstandard analysis of asymptotic points of expansive systems |
| topic | Dynamical Systems Logic |
| url | https://arxiv.org/abs/2412.10201 |