Beyond the periodic orbit theory

Details Beyond the periodic orbit theory Beyond the periodic orbit theory

1997-12-02

arxiv.org/abs/chao-dyn/9712002v1

Nonlinear Sciences

Chaotic Dynamics

29 pages Latex2e

Scientific paper

10.1088/0951-7715/11/5/003

The global constraints on chaotic dynamics induced by the analyticity of smooth flows are used to dispense with individual periodic orbits and derive infinite families of exact sum rules for several simple dynamical systems. The associated Fredholm determinants are of particularly simple polynomial form. The theory developed suggests an alternative to the conventional periodic orbit theory approach to determining eigenspectra of transfer operators.

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