Polygonal symplectic billiards
Symplectic Geometry
2019-12-20 v1 Dynamical Systems
Abstract
In this article, we study polygonal symplectic billiards. We provide new results, some of which are inspired by numerical investigations. In particular, we present several polygons for which all orbits are periodic. We demonstrate their properties and derive various conjectures using two numerical implementations.
Cite
@article{arxiv.1912.09404,
title = {Polygonal symplectic billiards},
author = {Peter Albers and Gautam Banhatti and Filip Sadlo and Richard Schwartz and Serge Tabachnikov},
journal= {arXiv preprint arXiv:1912.09404},
year = {2019}
}
Comments
23 pages, 24 figures