Homoclinic points for convex billiards

Fuente: arXiv
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Autores principales: Xia, Zhihong, Zhang, Pengfei
Formato: Preprint
Publicado: 2013
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author Xia, Zhihong
Zhang, Pengfei
author_facet Xia, Zhihong
Zhang, Pengfei
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_1310_5279
institution arXiv
publishDate 2013
record_format arxiv
spellingShingle Homoclinic points for convex billiards
Xia, Zhihong
Zhang, Pengfei
Dynamical Systems
37D40, 37D50, 37C20, 37E40
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.
title Homoclinic points for convex billiards
topic Dynamical Systems
37D40, 37D50, 37C20, 37E40
url https://arxiv.org/abs/1310.5279