Search for low-dimensional chaos in a reversed field pinch plasma

Details Search for low-dimensional chaos in a reversed field pinch plasma Search for low-dimensional chaos in a reversed field pinch plasma

1998-10-08

arxiv.org/abs/physics/9810014v1

Physics of Plasmas 6 (1999), p. 100-106

Physics

Plasma Physics

REVTeX, 18 pages, 7 PostScript figures. To be published in Physics of Plasmas (scheduled January 1999)

Scientific paper

10.1063/1.873264

An analysis of experimental data from the RFX (Reversed Field eXperiment) reversed field pinch machine [L. Fellin, P. Kusstatscher and G. Rostagni, Fusion Eng. Des. {\bf 25}, 315 (1995)] is carried out to investigate the possible existence of deterministic chaos in the edge plasma region. The mathematical tools used include Lyapunov exponents, Kaplan-Yorke dimension, minimum embedding dimension estimates and nonlinear forecasting. The whole analysis agrees in ruling out the possibility of low-dimensional chaos: The dimension of the underlying dynamical system is estimated to be $ > 10$. From a critical re-reading of the literature it emerges that the findings of this work are likely to be common to all reversed field pinches.

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