Existence of stable periodic orbits in billiards close to lemon and moon billiards
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866918361250660352 |
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| author | Grigo, Alexander |
| author_facet | Grigo, Alexander |
| contents | It is known that at lemon and moon billiards that have a sufficiently small curvature on one of their circular arcs are hyperbolic. In this paper we show that replacing this circular arc by a more general boundary component of small curvature could produce billiard tables that admit nonlinearly stable periodic orbits. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_00275 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Existence of stable periodic orbits in billiards close to lemon and moon billiards Grigo, Alexander Dynamical Systems It is known that at lemon and moon billiards that have a sufficiently small curvature on one of their circular arcs are hyperbolic. In this paper we show that replacing this circular arc by a more general boundary component of small curvature could produce billiard tables that admit nonlinearly stable periodic orbits. |
| title | Existence of stable periodic orbits in billiards close to lemon and moon billiards |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2603.00275 |