Existence of stable periodic orbits in billiards close to lemon and moon billiards
Abstract
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.
Fields of Study & Subjects
Mathematical Dynamics and Fractals
Advanced Differential Equations and Dynamical Systems
Mathematics and Applications
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 27 February 2026
- Language
- EN
- Document type
- Preprint