Introducing symplectic billiards
Dynamical Systems
2022-12-29 v1 Symplectic Geometry
Abstract
In this article we introduce a simple dynamical system called symplectic billiards. As opposed to usual/Birkhoff billiards, where length is the generating function, for symplectic billiards symplectic area is the generating function. We explore basic properties and exhibit several similarities, but also differences of symplectic billiards to Birkhoff billiards.
Keywords
Cite
@article{arxiv.1708.07395,
title = {Introducing symplectic billiards},
author = {Peter Albers and Serge Tabachnikov},
journal= {arXiv preprint arXiv:1708.07395},
year = {2022}
}
Comments
41 pages, 16 figures