A survey on Polynomial in momenta integrals for billiard problems
Dynamical Systems
2018-04-06 v1 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
In this paper we give a short survey of recent results on algebraic version of the Birkhoff conjecture for integrable billiards on surfaces of constant curvature. We also discuss integrable magnetic billiards. As a new application of the algebraic technique we study the existence of polynomial integrals for the two-sided magnetic billiards introduced by Kozlov and Polikarpov.
Keywords
Cite
@article{arxiv.1804.01686,
title = {A survey on Polynomial in momenta integrals for billiard problems},
author = {Michael and Bialy and Andrey E. Mironov},
journal= {arXiv preprint arXiv:1804.01686},
year = {2018}
}
Comments
20 p, 7 figures