Transition to chaos in systems with multiple shearless transport barriers.
Mechanism of transport in symplectic maps applied to magnetic confined plasmas
| Full text | |
| Author(s): |
Mugnaine, Michele
[1]
;
Batista, Antonio M.
[2, 3, 4]
;
Caldas, Ibere L.
[3]
;
Szezech Jr, Jose D.
;
Viana, Ricardo L.
[1]
Total Authors: 5
|
| Affiliation: | [1] Univ Fed Parana, Dept Phys, BR-80060000 Curitiba, Parana - Brazil
[2] Univ Estadual Ponta Grossa, Dept Math & Stat, BR-84030900 Ponta Grossa, PR - Brazil
[3] Univ Sao Paulo, Inst Phys, BR-05508900 Sao Paulo, SP - Brazil
[4] Univ Estadual Ponta Grossa, Grad Sci Program Phys, BR-84030900 Ponta Grossa, PR - Brazil
Total Affiliations: 4
|
| Document type: | Journal article |
| Source: | Chaos; v. 30, n. 9 SEP 2020. |
| Web of Science Citations: | 0 |
| Abstract | |
Non-monotonic area-preserving maps violate the twist condition locally in phase space, giving rise to shearless invariant barriers surrounded by twin island chains in these regions of phase space. For the extended standard nontwist map, with two resonant perturbations with distinct wave numbers, we investigate the presence of such barriers and their associated island chains and compare our results with those that have been reported for the standard nontwist map with only one perturbation. Furthermore, we determine in the control parameter space the existence of the shearless barrier and the influence of the additional wave number on this condition. We show that only for odd second wave numbers are the twin island chains symmetrical. Moreover, for even wave numbers, the lack of symmetry between the chains of twin islands generates a ratchet effect that implies a directed transport in the phase space. (AU) | |
| FAPESP's process: | 18/03211-6 - Non linear dynamics |
| Grantee: | Iberê Luiz Caldas |
| Support Opportunities: | Research Projects - Thematic Grants |