Chaotic magnetic field lines and fractal structures in a tokamak with magnetic limiter

A.C. Mathias, T. Kroetz, I.L. Caldas and R.L. Viana

Chaos, Solitons & Fractals, 2017, vol. 104, issue C, 588-598

Abstract: Open hamiltonian systems have typically fractal structures underlying chaotic dynamics with a number of physical consequences on transport. We consider such fractal structures related to the formation of a chaotic magnetic field line region near the tokamak wall and the corresponding field line dynamics, described by a two-dimensional area-preserving map. We focus on the exit basins, which are sets of points which originate orbits escaping through some exit and are typically fractal, also exhibiting the so-called Wada property. We show qualitative as well as quantitative evidences of these properties.

Keywords: Fractal basin boundaries; Basin entropy; Fractal exit basins; Tokamaks; Magnetic field lines (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:104:y:2017:i:c:p:588-598

DOI: 10.1016/j.chaos.2017.09.017

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