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

Author

Listed:
  • Mathias, A.C.
  • Kroetz, T.
  • Caldas, I.L.
  • Viana, R.L.

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.

Suggested Citation

  • Mathias, A.C. & Kroetz, T. & Caldas, I.L. & Viana, R.L., 2017. "Chaotic magnetic field lines and fractal structures in a tokamak with magnetic limiter," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 588-598.
    • Handle: RePEc:eee:chsofr:v:104:y:2017:i:c:p:588-598
    DOI: 10.1016/j.chaos.2017.09.017
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    Cited by:

    1. Nieto, Alexandre R. & Seoane, Jesús M. & Sanjuán, Miguel A.F., 2021. "Final state sensitivity in noisy chaotic scattering," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    2. de Souza Filho, Edson E. & Mathias, Amanda C. & Viana, Ricardo L., 2021. "Fractal structures in the deflection of light by a pair of charged black holes," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).

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