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Shearless curve breakup in the biquadratic nontwist map

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Author(s):
Grime, Gabriel C. ; Roberto, Marisa ; Viana, Ricardo L. ; Elskens, Yves ; Caldas, Ibere L.
Total Authors: 5
Document type: Journal article
Source: CHAOS SOLITONS & FRACTALS; v. 172, p. 8-pg., 2023-06-07.
Abstract

Nontwist area-preserving maps violate the twist condition along shearless invariant curves, which act as transport barriers in phase space. Recently, some plasma models have presented multiple shearless curves in phase space and these curves can break up independently. In this paper, we describe the different shearless curve breakup scenarios of the so-called biquadratic nontwist map, a recently proposed area-preserving map derived from a plasma model, that captures the essential behavior of systems with multiple shearless curves. Three different scenarios are found and their dependence on the system parameters is analyzed. The results indicate a relation between shearless curve breakup and periodic orbit reconnection-collision sequences. In addition, even after a shearless curve breakup, the remaining curves inhibit global transport. (AU)

FAPESP's process: 22/08699-2 - Chaotic transport in tokamak plasmas
Grantee:Marisa Roberto
Support Opportunities: Regular Research Grants
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
FAPESP's process: 22/05667-2 - Transport Barriers in Magnetically Confined Plasmas
Grantee:Gabriel Cardoso Grime
Support Opportunities: Scholarships in Brazil - Doctorate