| Full text | |
| Author(s): |
Palmero, Matheus S.
;
Caldas, Ibere L.
;
Sokolov, Igor M.
Total Authors: 3
|
| Document type: | Journal article |
| Source: | Chaos; v. 32, n. 11, p. 16-pg., 2022-11-01. |
| Abstract | |
In this work, we show that a finite-time recurrence analysis of different chaotic trajectories in two-dimensional non-linear Hamiltonian systems provides useful prior knowledge of their dynamical behavior. By defining an ensemble of initial conditions, evolving them until a given maximum iteration time, and computing the recurrence rate of each orbit, it is possible to find particular trajectories that widely differ from the average behavior. We show that orbits with high recurrence rates are the ones that experience stickiness, being dynamically trapped in specific regions of the phase space. We analyze three different non-linear maps and present our numerical observations considering particular features in each of them. We propose the described approach as a method to visually illustrate and characterize regions in phase space with distinct dynamical behaviors. Published under an exclusive license by AIP Publishing. (AU) | |
| FAPESP's process: | 18/03211-6 - Non linear dynamics |
| Grantee: | Iberê Luiz Caldas |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 20/12478-6 - Anomalous transport in symplectic maps: application in plasma dynamics |
| Grantee: | Matheus Palmero Silva |
| Support Opportunities: | Scholarships abroad - Research Internship - Doctorate |
| FAPESP's process: | 18/03000-5 - Chaotic transport in symplectic maps: Applications in plasma |
| Grantee: | Matheus Palmero Silva |
| Support Opportunities: | Scholarships in Brazil - Doctorate |