Unstable Periodic Orbits in the Stadium Billiard
Condensed Matter
2009-10-22 v1
Abstract
A systematic numerical technique for the calculation of unstable periodic orbits in the stadium billiard is presented. All the periodic orbits up to order are calculated and then used to calculate the average Lyapunov exponent and the topological entropy. Applications to semiclassical quantization and to experiments in mesoscopic systems and microwave cavities are noted.
Keywords
Cite
@article{arxiv.cond-mat/9207010,
title = {Unstable Periodic Orbits in the Stadium Billiard},
author = {Ofer Biham and Mark Kvale},
journal= {arXiv preprint arXiv:cond-mat/9207010},
year = {2009}
}
Comments
17 pages, 6 Figures