A note on the bounded orbit conjecture
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866909578688462848 |
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| author | Shi, Enhui Yu, Ziqi |
| author_facet | Shi, Enhui Yu, Ziqi |
| contents | If $f:\mathbb{R}^2\rightarrow \mathbb{R}^2$ is an orientation reversing fixed point free homeomorphism on the plane $\mathbb{R}^2$ with no unbounded orbit, then $f$ has infinitely many periodic orbits. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_09539 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A note on the bounded orbit conjecture Shi, Enhui Yu, Ziqi Dynamical Systems If $f:\mathbb{R}^2\rightarrow \mathbb{R}^2$ is an orientation reversing fixed point free homeomorphism on the plane $\mathbb{R}^2$ with no unbounded orbit, then $f$ has infinitely many periodic orbits. |
| title | A note on the bounded orbit conjecture |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2504.09539 |