A systematic numerical technique for the calculation of unstable periodic orbits in the stadium billiard is presented. All of 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.

• Received 29 June 1992

DOI:https://doi.org/10.1103/PhysRevA.46.6334