Sufficient conditions for distributional chaos of type I
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866929736442183680 |
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| author | Kawaguchi, Noriaki |
| author_facet | Kawaguchi, Noriaki |
| contents | Distributional chaos of type I (DC1) is a stronger variant of Li-Yorke chaos. In this paper, we consider the fact that the time-one map of a mixing Anosov flow exhibits DC1 and generalize it to obtain simple sufficient conditions for DC1. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_00316 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Sufficient conditions for distributional chaos of type I Kawaguchi, Noriaki Dynamical Systems 37B05, 37B20, 37D45 Distributional chaos of type I (DC1) is a stronger variant of Li-Yorke chaos. In this paper, we consider the fact that the time-one map of a mixing Anosov flow exhibits DC1 and generalize it to obtain simple sufficient conditions for DC1. |
| title | Sufficient conditions for distributional chaos of type I |
| topic | Dynamical Systems 37B05, 37B20, 37D45 |
| url | https://arxiv.org/abs/2503.00316 |