Periodic Orbits in Polygonal Billiards
chao-dyn
2009-10-28 v1 Chaotic Dynamics
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.
Cite
@article{arxiv.chao-dyn/9609001,
title = {Periodic Orbits in Polygonal Billiards},
author = {Debabrata Biswas},
journal= {arXiv preprint arXiv:chao-dyn/9609001},
year = {2009}
}
Comments
30 pages (Latex) including 11 figures