A hybrid method for calculation of Ruelle-Pollicott resonances

Abstract

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.

15 pages, 7 figures

References in corpus (4)

• Resonances of the Frobenius-Perron Operator for a Hamiltonian Map with a Mixed Phase Space
• Leading Pollicott-Ruelle Resonances and Transport in Area-Preserving Maps
• Leading Pollicott-Ruelle Resonances for Chaotic Area-Preserving Maps
• Locating Pollicott-Ruelle resonances in chaotic dynamical systems: A class of numerical schemes

Cited by in corpus (3)

• Momentum dependent quantum Ruelle-Pollicott resonances in translationally invariant many-body systems
• Opening Krylov space to access all-time dynamics via dynamical symmetries
• Transfer operators and topological field theory