English

Homoclinic points for convex billiards

Dynamical Systems 2024-04-02 v1

Abstract

In this paper we investigate some generic properties of a billiard system on a convex table. We show that generically, every hyperbolic periodic point admits some homoclinic orbit.

Keywords

Cite

@article{arxiv.1310.5279,
  title  = {Homoclinic points for convex billiards},
  author = {Zhihong Xia and Pengfei Zhang},
  journal= {arXiv preprint arXiv:1310.5279},
  year   = {2024}
}

Comments

12 pages, 1 figure

R2 v1 2026-06-22T01:50:16.767Z