Persistence of periodic billiard orbits under domain deformation
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866917498441433088 |
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| author | Everett, Samuel |
| author_facet | Everett, Samuel |
| contents | We prove that if a polygon admits a periodic billiard orbit satisfying a certain combinatorial criterion, then there are paths of polygons in parameter space for which every polygon in the path admits a periodic billiard orbit of the same type. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_04362 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Persistence of periodic billiard orbits under domain deformation Everett, Samuel Dynamical Systems We prove that if a polygon admits a periodic billiard orbit satisfying a certain combinatorial criterion, then there are paths of polygons in parameter space for which every polygon in the path admits a periodic billiard orbit of the same type. |
| title | Persistence of periodic billiard orbits under domain deformation |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2605.04362 |