No-slip billiards in dimension two
Dynamical Systems
2016-02-05 v1
Abstract
We investigate the dynamics of no-slip billiards, a model in which small rotating disks may exchange linear and angular momentum at collisions with the boundary. We give new results on periodicity and boundedness of orbits which suggest that a class of billiards (including all polygons) is not ergodic. Computer generated phase portraits demonstrate non-ergodic features, suggesting chaotic no-slip billiards cannot readily be constructed using the common techniques for generating chaos in standard billiards.
Keywords
Cite
@article{arxiv.1602.01490,
title = {No-slip billiards in dimension two},
author = {Chris Cox and Renato Feres},
journal= {arXiv preprint arXiv:1602.01490},
year = {2016}
}
Comments
21 pages, 21 figures