Periodic orbits in polygonal billiards |
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| Authors: | Debabrata Biswas |
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| Institution: | 1. Center for Chaos and Turbulence Studies, Niels Bohr Institute Blegdamsvej 17, Copenhagen ?, Denmark
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| Abstract: | We review some properties of periodic orbit families in polygonal billiards and discuss in particular a sum rule that they
obey. In addition, we provide algorithms to determine periodic orbit families and present numerical results that shed new
light on the proliferation law and its variation with the genus of the invariant surface. Finally, we deal with correlations
in the length spectrum and find that long orbits display Poisson fluctuations. |
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| Keywords: | Polygonal billiards periodic orbits proliferation law statistics |
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