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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2511.19927 |
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| _version_ | 1866917102364917760 |
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| author | Kajihara, Yuika Shibayama, Mitsuru |
| author_facet | Kajihara, Yuika Shibayama, Mitsuru |
| contents | In 1986, Moser showed that for a given area-preserving map, there exists a Hamiltonian system that realizes it on the Poincaré section. Using his technique, we show that for any braid, there exists a Hamiltonian system whose orbits realize the given braid. In particular, when the braid is pseudo-Anosov, so is the Poincaré map of the corresponding Hamiltonian. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_19927 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hamiltonian systems and monotone twist mappings for braids Kajihara, Yuika Shibayama, Mitsuru Dynamical Systems In 1986, Moser showed that for a given area-preserving map, there exists a Hamiltonian system that realizes it on the Poincaré section. Using his technique, we show that for any braid, there exists a Hamiltonian system whose orbits realize the given braid. In particular, when the braid is pseudo-Anosov, so is the Poincaré map of the corresponding Hamiltonian. |
| title | Hamiltonian systems and monotone twist mappings for braids |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2511.19927 |