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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2411.14844 |
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| _version_ | 1866929600634814464 |
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| author | Bai, Xinyu Lian, Zeng Ma, Xiao Zhao, Hang |
| author_facet | Bai, Xinyu Lian, Zeng Ma, Xiao Zhao, Hang |
| contents | In this paper, we consider a class of affined Anosov mappings with quasi-periodic forces, and show that there is a unique positive integer $m$, which only depends on the system, such that the exponential growth rate of the cardinality of invariant tori of degree $m$ is equal to the topological entropy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_14844 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Invariant tori for a class of affined Anosov mappings with quasi-periodic forces Bai, Xinyu Lian, Zeng Ma, Xiao Zhao, Hang Dynamical Systems 37D20, 37C35 In this paper, we consider a class of affined Anosov mappings with quasi-periodic forces, and show that there is a unique positive integer $m$, which only depends on the system, such that the exponential growth rate of the cardinality of invariant tori of degree $m$ is equal to the topological entropy. |
| title | Invariant tori for a class of affined Anosov mappings with quasi-periodic forces |
| topic | Dynamical Systems 37D20, 37C35 |
| url | https://arxiv.org/abs/2411.14844 |