Periodic Orbits in Polygonal Billiards

Details Periodic Orbits in Polygonal Billiards Periodic Orbits in Polygonal Billiards

1996-09-04

arxiv.org/abs/chao-dyn/9609001v1

Pramana, Volume 48, Page 487, (1997)

Nonlinear Sciences

Chaotic Dynamics

30 pages (Latex) including 11 figures

Scientific paper

10.1007/BF02845658

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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