| Full text | |
| Author(s): |
Sales, Matheus R.
;
Mugnaine, Michele
;
Szezech, Jose D., Jr.
;
Viana, Ricardo L.
;
Caldas, Ibere L.
;
Marwan, Norbert
;
Kurths, Juergen
Total Authors: 7
|
| Document type: | Journal article |
| Source: | Chaos; v. 33, n. 3, p. 10-pg., 2023-03-01. |
| 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 (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) | |
| FAPESP's process: | 22/04251-7 - Fractal Structures in Plasma Physics |
| Grantee: | Iberê Luiz Caldas |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - Brazil |
| FAPESP's process: | 18/03211-6 - Non linear dynamics |
| Grantee: | Iberê Luiz Caldas |
| Support Opportunities: | Research Projects - Thematic Grants |