Periodic orbit sum rules for billiards: Accelerating cycle expansions
chao-dyn
2009-10-31 v1 Chaotic Dynamics
Abstract
We show that the periodic orbit sums for 2-dimensional billiards satisfy an infinity of exact sum rules. We test such sum rules and demonstrate that they can be used to accelerate the convergence of cycle expansions for averages such as Lyapunov exponents.
Cite
@article{arxiv.chao-dyn/9901001,
title = {Periodic orbit sum rules for billiards: Accelerating cycle expansions},
author = {Sune F. Nielsen and Per Dahlqvist and Predrag Cvitanovic},
journal= {arXiv preprint arXiv:chao-dyn/9901001},
year = {2009}
}
Comments
19 pages, 5 postscript figures, submitted to Journal of Physics A