Article contents
Asymptotic periodicity in outer billiards with contraction
Published online by Cambridge University Press: 14 June 2018
Abstract
We show that for almost every $(P,\unicode[STIX]{x1D706})$, where $P$ is a convex polygon and $\unicode[STIX]{x1D706}\in (0,1)$, the corresponding outer billiard about $P$ with contraction $\unicode[STIX]{x1D706}$ is asymptotically periodic, i.e., has a finite number of periodic orbits and every orbit is attracted to one of them.
- Type
- Original Article
- Information
- Copyright
- © Cambridge University Press, 2018
References
- 2
- Cited by