English

A hybrid method for calculation of Ruelle-Pollicott resonances

Chaotic Dynamics 2015-05-13 v1

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.

Keywords

Cite

@article{arxiv.0907.0694,
  title  = {A hybrid method for calculation of Ruelle-Pollicott resonances},
  author = {Martin Horvat and Gregor Veble},
  journal= {arXiv preprint arXiv:0907.0694},
  year   = {2015}
}

Comments

15 pages, 7 figures