Symmetry Decomposition of Chaotic Dynamics

Details Symmetry Decomposition of Chaotic Dynamics Symmetry Decomposition of Chaotic Dynamics

1993-03-24

arxiv.org/abs/chao-dyn/9303016v1

Nonlinear Sciences

Chaotic Dynamics

CYCLER Paper 93mar013

Scientific paper

10.1088/0951-7715/6/2/008

Discrete symmetries of dynamical flows give rise to relations between periodic orbits, reduce the dynamics to a fundamental domain, and lead to factorizations of zeta functions. These factorizations in turn reduce the labor and improve the convergence of cycle expansions for classical and quantum spectra associated with the flow. In this paper the general formalism is developed, with the $N$-disk pinball model used as a concrete example and a series of physically interesting cases worked out in detail.

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