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Entree


Stickiness and recurrence plots: An entropy-based approach

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Autor(es):
Sales, Matheus R. ; Mugnaine, Michele ; Szezech, Jose D., Jr. ; Viana, Ricardo L. ; Caldas, Ibere L. ; Marwan, Norbert ; Kurths, Juergen
Número total de Autores: 7
Tipo de documento: Artigo Científico
Fonte: Chaos; v. 33, n. 3, p. 10-pg., 2023-03-01.
Resumo

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 (RPs), 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. (AU)

Processo FAPESP: 22/04251-7 - Estruturas Fractais em Física de Plasmas
Beneficiário:Iberê Luiz Caldas
Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Brasil
Processo FAPESP: 18/03211-6 - Dinâmica não linear
Beneficiário:Iberê Luiz Caldas
Modalidade de apoio: Auxílio à Pesquisa - Temático