Asymptotic periodicity in outer billiards with contraction
Abstract
We show that for almost every $(P,\lambda)$ where $P$ is a convex polygon and $\lambda\in(0,1)$, the corresponding outer billiard about $P$ with contraction $\lambda$ is asymptotically periodic, i.e., has a finite number of periodic orbits and every orbit is attracted to one of them.
 Publication:

arXiv eprints
 Pub Date:
 July 2017
 DOI:
 10.48550/arXiv.1707.01151
 arXiv:
 arXiv:1707.01151
 Bibcode:
 2017arXiv170701151G
 Keywords:

 Mathematics  Dynamical Systems;
 37E99
 EPrint:
 17 pages, 2 figures