Scarcity of periodic orbits in outer billiards
Dynamical Systems
2017-12-27 v2
Abstract
We give a simple proof of our previous result with V. Zharnitsky that the set of period 4 orbits in planar outer billiard with piecewise smooth convex boundary has empty interior, provided that no four corners of the boundary form a parallelogram. We also obtain results on period 5 and 6 orbits.
Keywords
Cite
@article{arxiv.1706.03882,
title = {Scarcity of periodic orbits in outer billiards},
author = {Alexander Tumanov},
journal= {arXiv preprint arXiv:1706.03882},
year = {2017}
}
Comments
12 pages, minor typos corrected