Homoclinic points for convex billiards
Abstract
In this paper we investigate some generic properties of a billiard system on a convex table. We show that C∞ generically, every hyperbolic periodic point admits some homoclinic orbit.
- Publication:
-
Nonlinearity
- Pub Date:
- June 2014
- DOI:
- 10.1088/0951-7715/27/6/1181
- arXiv:
- arXiv:1310.5279
- Bibcode:
- 2014Nonli..27.1181X
- Keywords:
-
- Mathematics - Dynamical Systems;
- 37D40;
- 37D50;
- 37C20;
- 37E40
- E-Print:
- 12 pages, 1 figure