Email this article Outer Billiards outside a Regular Octagon: Periodicity of Almost All Orbits and Existence of an Aperiodic Orbit
- Authors: Rukhovich F.D.1
-
Affiliations:
- Moscow Institute of Physics and Technology (State University)
- Issue: Vol 98, No 1 (2018)
- Pages: 334-337
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225527
- DOI: https://doi.org/10.1134/S1064562418050101
- ID: 225527
Cite item
Open Access
Access granted
Subscription Access
Abstract
The existence of an aperiodic orbit for an outer billiard outside a regular octagon is proved. Additionally, almost all orbits of such an outer billiard are proved to be periodic. All possible periods are explicitly listed.
About the authors
F. D. Rukhovich
Moscow Institute of Physics and Technology (State University)
Author for correspondence.
Email: dprpavlin@gmail.com
Russian Federation, Dolgoprudnyi, Moscow oblast, 141700
Supplementary files
