Periodic orbit sum rules for billiards: Accelerating cycle expansions

Details Periodic orbit sum rules for billiards: Accelerating cycle expansions Periodic orbit sum rules for billiards: Accelerating cycle expansions

1999-01-04

arxiv.org/abs/chao-dyn/9901001v1

Nonlinear Sciences

Chaotic Dynamics

19 pages, 5 postscript figures, submitted to Journal of Physics A

Scientific paper

10.1088/0305-4470/32/39/304

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.

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