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arXiv · 2212.12316

Stickiness and recurrence plots: an entropy-based approach

Matheus R. Sales·Michele Mugnaine·José D. Szezech Jr.·Ricardo L. Viana·Iberê L. Caldas·Norbert Marwan·Jürgen Kurths
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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.

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Matheus R. Sales, Michele Mugnaine, José D. Szezech Jr., Ricardo L. Viana, Iberê L. Caldas, Norbert Marwan, Jürgen Kurths. 2023-02-27. Stickiness and recurrence plots: an entropy-based approach. https://doi.org/10.1063/5.0140613

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