Bounded Gain of Energy on the Breathing Circle Billiard
chao-dyn
2009-10-31 v1 Chaotic Dynamics
Abstract
The Breathing Circle is a 2-dimensional generalization of the Fermi Accelerator. It is shown that the billiard map associated to this model has invariant curves in phase space, implying that any particle will have bounded gain of energy.
Cite
@article{arxiv.chao-dyn/9811023,
title = {Bounded Gain of Energy on the Breathing Circle Billiard},
author = {Sylvie Oliffson Kamphorst and Sonia Pinto de Carvalho},
journal= {arXiv preprint arXiv:chao-dyn/9811023},
year = {2009}
}
Comments
9 pages, 2 figures