Quick search Find article
Quick search
Find article

A hybrid method for calculation of Ruelle–Pollicott resonances

Martin Horvat1,2 and Gregor Veble2,3,4

Show affiliations


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 time steps. The method is compared to the usual approaches to the example of the perturbed cat map and is shown to be numerically efficient and robust.


PACS

05.45.-a Nonlinear dynamics and nonlinear dynamical systems

MSC

37D45 Strange attractors, chaotic dynamics

Subjects

Statistical physics and nonlinear systems

Dates

Issue 46 (20 November 2009)

Received 3 July 2009, in final form 25 September 2009

Published 22 October 2009



View by subject




Export






Please login to access our web services, or create an account if you don't yet have one.

You must have cookies enabled in your web browser to be able to login.

Username
Password

Forgotten your password? Get a new one here.