A note on Bohr chaos and hyperbolic sets
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866911366362693632 |
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| author | Kawaguchi, Noriaki |
| author_facet | Kawaguchi, Noriaki |
| contents | This paper studies the relationship between shadowing phenomena and Bohr chaos in dynamical systems. We provide sufficient conditions for Bohr chaos in terms of shadowing. By combining those conditions with the shadowing lemma, we obtain some results on Bohr chaos and hyperbolic sets. Our results also highlight some simple but non-trivial structural properties of hyperbolic sets. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_06869 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A note on Bohr chaos and hyperbolic sets Kawaguchi, Noriaki Dynamical Systems 37B05, 37B65, 37D05, 37D45 This paper studies the relationship between shadowing phenomena and Bohr chaos in dynamical systems. We provide sufficient conditions for Bohr chaos in terms of shadowing. By combining those conditions with the shadowing lemma, we obtain some results on Bohr chaos and hyperbolic sets. Our results also highlight some simple but non-trivial structural properties of hyperbolic sets. |
| title | A note on Bohr chaos and hyperbolic sets |
| topic | Dynamical Systems 37B05, 37B65, 37D05, 37D45 |
| url | https://arxiv.org/abs/2601.06869 |