A note on odometers and shadowing
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866913686095921152 |
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| author | Kawaguchi, Noriaki |
| author_facet | Kawaguchi, Noriaki |
| contents | For a continuous self-map of a compact metric space, we provide a sufficient condition for the orbit of a point to converge to a periodic orbit or an odometer. We show that if a continuous self-map of a compact metric space has the shadowing property, then the set of points whose orbits converge to periodic orbits or odometers is dense. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_07334 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A note on odometers and shadowing Kawaguchi, Noriaki Dynamical Systems 37B20, 37B65 For a continuous self-map of a compact metric space, we provide a sufficient condition for the orbit of a point to converge to a periodic orbit or an odometer. We show that if a continuous self-map of a compact metric space has the shadowing property, then the set of points whose orbits converge to periodic orbits or odometers is dense. |
| title | A note on odometers and shadowing |
| topic | Dynamical Systems 37B20, 37B65 |
| url | https://arxiv.org/abs/2502.07334 |