Stickiness and recurrence plots: an entropy-based approach
Chaotic Dynamics
2023-04-05 v2
Abstract
The stickiness effect is a fundamental feature of quasi-integrable Hamiltonian systems. We propose the use of an entropy-based measure of the recurrence plots (RP), namely, the entropy of the distribution of the recurrence times (estimated from the RP), to characterize the dynamics of a typical quasi-integrable Hamiltonian system with coexisting regular and chaotic regions. We show that the recurrence time entropy (RTE) is positively correlated to the largest Lyapunov exponent, with a high correlation coefficient. We obtain a multi-modal distribution of the finite-time RTE and find that each mode corresponds to the motion around islands of different hierarchical levels.
Cite
@article{arxiv.2212.12316,
title = {Stickiness and recurrence plots: an entropy-based approach},
author = {Matheus R. Sales and Michele Mugnaine and José D. Szezech and Ricardo L. Viana and Iberê L. Caldas and Norbert Marwan and Jürgen Kurths},
journal= {arXiv preprint arXiv:2212.12316},
year = {2023}
}
Comments
16 pages, 7 figures