A Lower Bound for Chaos on the Elliptical Stadium
chao-dyn
2009-10-30 v1 Chaotic Dynamics
Abstract
The elliptical stadium is a plane region bounded by a curve constructed by joining two half-ellipses by two parallel segments of equal length. The billiard inside it, as a map, generates a two parameters family of dynamical systems. It is known that the system is ergodic for a certain region of the parameter space. In this work we study the stability of a particular family of periodic orbits obtaining good bounds for the chaotic zone.
Keywords
Cite
@article{arxiv.chao-dyn/9704006,
title = {A Lower Bound for Chaos on the Elliptical Stadium},
author = {Eduardo Canale and Roberto Markarian and Sylvie Oliffson Kamphorst and Sonia Pinto de Carvalho},
journal= {arXiv preprint arXiv:chao-dyn/9704006},
year = {2009}
}
Comments
13 pages, LaTeX. 7 postscript low resolution figures included. High resolution figures avaiable under request to [email protected]