Chaotic Properties of the Elliptical Stadium
chao-dyn
2009-10-28 v1 Chaotic Dynamics
Abstract
The elliptical stadium is a curve constructed by joining two half-ellipses, with half axes a>1 and b=1, by two straight segments of equal length 2h. In this work we find bounds on h, for a close to 1, to assure the positiveness of a Lyapunov exponent. We conclude that, for these values of a and h, the elliptical stadium billiard mapping is ergodic and has the K-property.
Cite
@article{arxiv.chao-dyn/9501004,
title = {Chaotic Properties of the Elliptical Stadium},
author = {Roberto Markarian and Sylvie Oliffson Kamphorst and Sonia Pinto de Carvalho},
journal= {arXiv preprint arXiv:chao-dyn/9501004},
year = {2009}
}
Comments
LaTeX, 19 pages, 7 figures and legends stored in uuencoded file