Rotation sets of billiards with one obstacle
Dynamical Systems
2010-08-12 v1 Mathematical Physics
math.MP
Abstract
We investigate the rotation sets of billiards on the -dimensional torus with one small convex obstacle and in the square with one small convex obstacle. In the first case the displacement function, whose averages we consider, measures the change of the position of a point in the universal covering of the torus (that is, in the Euclidean space), in the second case it measures the rotation around the obstacle. A substantial part of the rotation set has usual strong properties of rotation sets.
Keywords
Cite
@article{arxiv.math/0508300,
title = {Rotation sets of billiards with one obstacle},
author = {A. Blokh and M. Misiurewicz and N. Simanyi},
journal= {arXiv preprint arXiv:math/0508300},
year = {2010}
}