Unstable Periodic Orbits in the Stadium Billiard
Ofer Biham, Mark Kvale
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 p=11 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.
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