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Low-dimensional behavior of nonlinear tearing mode dynamics in a rotating plasma. (English) Zbl 0925.76936

Summary: Simulations of resistive magnetohydrodynamics in a rotating plasma are analyzed by calculating the correlation dimensions and the local intrinsic dimensions. A rotating plasma with a nonlinear oscillatory state is found to be associated with a low-dimensional attractor. The solutions are also checked for sensitivity to initial conditions, characterized by the sign of the largest Lyapunov exponent.

MSC:

76W05 Magnetohydrodynamics and electrohydrodynamics
76U05 General theory of rotating fluids
82D10 Statistical mechanics of plasmas
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