Unstable Periodic Orbits in the Stadium Billiard

Ofer Biham; Mark Kvale

doi:10.1103/physreva.46.6334

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Unstable Periodic Orbits in the Stadium Billiard

Ofer Biham·Mark Kvale

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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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Ofer Biham, Mark Kvale. 1992-07-09. Unstable Periodic Orbits in the Stadium Billiard. https://doi.org/10.1103/physreva.46.6334

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