Chaoticity of generic analytic convex billiards
Dynamical Systems
2026-05-20 v1
Abstract
We show that a generic analytic strongly convex billiard is "maximally chaotic" in the sense that, for every rational number , all intersections between the stable and unstable manifolds of maximizing periodic orbits with rotation number are transverse.
Cite
@article{arxiv.2605.19897,
title = {Chaoticity of generic analytic convex billiards},
author = {Inmaculada Baldomá and Anna Florio and Martin Leguil and Tere M. -Seara},
journal= {arXiv preprint arXiv:2605.19897},
year = {2026}
}
Comments
55 pages