| Full text | |
| Author(s): |
Mugnaine, Michele
;
Leal, Bruno B.
;
Caldas, Ibere L.
;
de Almeida, Alfredo M. Ozorio
;
Viana, Ricardo L.
Total Authors: 5
|
| Document type: | Journal article |
| Source: | PHYSICAL REVIEW E; v. 110, n. 2, p. 8-pg., 2024-08-14. |
| Abstract | |
Isochronous islands in phase space emerge in twist Hamiltonian systems as a response to multiple resonant perturbations. According to the Poincar & eacute;-Birkhoff theorem, the number of islands depends on the system characteristics and the perturbation. We analyze, for the two-parameter standard map, also called two-harmonic standard map, how the island chains are modified as the perturbation amplitude increases. We identified three routes for the transition from one chain, associated with one harmonic, to the chain associated with the other harmonic, based on a combination of pitchfork and saddle-node bifurcations. These routes can present intermediate island chains configurations. Otherwise, the destruction of the islands always occurs through the pitchfork bifurcation. (AU) | |
| FAPESP's process: | 18/03211-6 - Non linear dynamics |
| Grantee: | Iberê Luiz Caldas |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 22/12736-0 - Oscillations in magnetically confined plasmas |
| Grantee: | Michele Mugnaine |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 23/10521-0 - Mechanism of transport in symplectic maps applied to magnetic confined plasmas |
| Grantee: | Michele Mugnaine |
| Support Opportunities: | Scholarships abroad - Research Internship - Post-doctor |