Biquadratic nontwist map: a model for shearless bifurcations

Gabriel C. Grime, Marisa Roberto, Ricardo L. Viana, Yves Elskens and Iberê L. Caldas

Chaos, Solitons & Fractals, 2023, vol. 169, issue C

Abstract: Area-preserving nontwist maps are used to describe a broad range of physical systems. In those systems, the violation of the twist condition leads to nontwist characteristic phenomena, such as reconnection–collision sequences and shearless invariant curves that act as transport barriers in the phase space. Although reported in numerical investigations, the shearless bifurcation, i.e., the emergence scenario of multiple shearless curves, is not well understood. In this work, we derive an area-preserving map as a local approximation of a particle transport model for confined plasmas. Multiple shearless curves are found in this area-preserving map, with the same shearless bifurcation scenario numerically observed in the original model. Due to its symmetry properties and simple functional form, this map is proposed as a model to study shearless bifurcations.

Keywords: Area-preserving map; Nontwist system; Shearless transport barrier (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:169:y:2023:i:c:s0960077923001327

DOI: 10.1016/j.chaos.2023.113231

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