Remarks on Power Spectra of Chaotic Dynamical Systems

Details Remarks on Power Spectra of Chaotic Dynamical Systems Remarks on Power Spectra of Chaotic Dynamical Systems

2008-08-31

arxiv.org/abs/0809.0148v1

Nonlinear Sciences

Chaotic Dynamics

12 pages, 3 figures

Scientific paper

We develop novel methods to compute auto-correlation functions, or power spectral densities, for chaotic dynamical systems generated by an inverse method whose starting point is an invariant distribution and a two-form. In general, the inverse method makes some aspects of chaotic dynamics calculable by methods familiar in quantum field theory. This approach has the numerical advantage of being amenable to Monte-Carlo parallel computation. We demonstrate the approach on a specific example, and show how auto-correlation functions can be computed without any direct numerical simulation, by Pade approximants of a short time expansion.

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