Chaos in Reversed-field-pinch Plasma Simulation and Experiment
Christopher Watts, D. E. Newman, and J.
Department of Physics, University
of Wisconsin--Madison, Wisconsin 53706
(Received 4 October 1993)
We investigate the possibility that chaos and simple determinism are
the dynamics of reversed-field-pinch (RFP) plasmas using data from both
numerical simulations and experiment. A large repertoire of
techniques is used to identify low-dimensional chaos. These tools
phase portraits and Poincare sections, correlation dimension, the
of Lyapunov exponents, and short-term predictability. In addition,
techniques are applied to the experimental data in an attempt to
any underlying deterministic dynamics. These are the DEBS computer
which models global RFP dynamics, and the dissipative
model, which models drift-wave turbulence. Data from both simulations
strong indications of low-dimensional chaos and simple determinism.
data were obtained from the Madison
RFP and consist of a wide array of both global and local diagnostic
None of the signals shows any indication of low-dimensional chaos or
simple determinism. Moreover, most of the analysis tools indicate that
the experimental system is very high dimensional with properties
to noise. Nonlinear noise reduction is unsuccessful at extracting an
Ref: Christopher Watts, D. E. Newman, and J.
Sprott, Physical Review E 49, 2291-2301 (1994)
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