Chaoticity of generic analytic convex billiards
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
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| _version_ | 1866916028127117312 |
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| author | Baldomá, Inmaculada Florio, Anna Leguil, Martin -Seara, Tere M. |
| author_facet | Baldomá, Inmaculada Florio, Anna Leguil, Martin -Seara, Tere M. |
| contents | We show that a generic analytic strongly convex billiard is "maximally chaotic" in the sense that, for every rational number $\frac{p}{q} \in \mathbb{Q} \cap (0,1)$, all intersections between the stable and unstable manifolds of maximizing periodic orbits with rotation number $\frac{p}{q}$ are transverse. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_19897 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Chaoticity of generic analytic convex billiards Baldomá, Inmaculada Florio, Anna Leguil, Martin -Seara, Tere M. Dynamical Systems We show that a generic analytic strongly convex billiard is "maximally chaotic" in the sense that, for every rational number $\frac{p}{q} \in \mathbb{Q} \cap (0,1)$, all intersections between the stable and unstable manifolds of maximizing periodic orbits with rotation number $\frac{p}{q}$ are transverse. |
| title | Chaoticity of generic analytic convex billiards |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2605.19897 |