Finite-time rotation number: a fast indicator for chaotic dynamical structures
Chaotic Dynamics
2011-02-11 v1
Abstract
Lagrangian coherent structures are effective barriers, sticky regions, that separate phase space regions of different dynamical behavior. The usual way to detect such structures is via finite-time Lyapunov exponents. We show that similar results can be obtained for single-frequency systems from finite-time rotation numbers, which are much faster to compute. We illustrate our claim by considering examples of continuous and discrete-time dynamical systems of physical interest.
Cite
@article{arxiv.1102.2105,
title = {Finite-time rotation number: a fast indicator for chaotic dynamical structures},
author = {J. D. Szezech and A. B. Schelin and I. L. Caldas and S. R. Lopes and P. J. Morrison and R. L. Viana},
journal= {arXiv preprint arXiv:1102.2105},
year = {2011}
}
Comments
4 pages, 3 figures