Periodic orbits in outer billiards
Dynamical Systems
2007-05-23 v2 Mathematical Physics
math.MP
Abstract
It is shown that the set of 4-period orbits in outer billiard with piecewise smooth convex boundary has an empty interior, provided that no four corners of the boundary form a parallelogram.
Keywords
Cite
@article{arxiv.math/0608529,
title = {Periodic orbits in outer billiards},
author = {Alexander Tumanov and Vadim Zharnitsky},
journal= {arXiv preprint arXiv:math/0608529},
year = {2007}
}