arXiv Analytics

Sign in

arXiv:1310.5279 [math.DS]AbstractReferencesReviewsResources

Homoclinic points for convex billiards

Zhihong Xia, Pengfei Zhang

Published 2013-10-19Version 1

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.

Comments: 12 pages, 1 figure
Categories: math.DS
Subjects: 37D40, 37D50, 37C20, 37E40
Related articles: Most relevant | Search more
arXiv:1505.01418 [math.DS] (Published 2015-05-06)
Convex billiards on convex spheres
arXiv:1203.1274 [math.DS] (Published 2012-03-06)
On conjugacy of convex billiards
arXiv:1704.03709 [math.DS] (Published 2017-04-12)
Generic properties of extensions

Links

Toolbox