Scaling Invariance in a Time-Dependent Elliptical Billiard
Chaotic Dynamics
2016-12-21 v1
Abstract
We study some dynamical properties of a classical time-dependent elliptical billiard. We consider periodically moving boundary and collisions between the particle and the boundary are assumed to be elastic. Our results confirm that although the static elliptical billiard is an integrable system, after to introduce time-dependent perturbation on the boundary the unlimited energy growth is observed. The behaviour of the average velocity is described using scaling arguments.
Keywords
Cite
@article{arxiv.1103.6223,
title = {Scaling Invariance in a Time-Dependent Elliptical Billiard},
author = {Diego F. M. Oliveira and Marko Robnik},
journal= {arXiv preprint arXiv:1103.6223},
year = {2016}
}