A hybrid method for calculation of Ruelle-Pollicott resonances

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Horvat, Martin
Veble, Gregor
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Abstract
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We present a numerical method for calculation of Ruelle-Pollicott resonances of dynamical systems. It constructs an effective coarse-grained propagator by considering the correlations of multiple observables over multiple timesteps. The method is compared to the usual approaches on the example of the perturbed cat map and is shown to be numerically efficient and robust.
Comment: 15 pages, 7 figures
Keywords
Nonlinear Sciences - Chaotic Dynamics
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