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Conjugate variable method for applying to MHD stability analysis

Tokuda, Shinji

The conjugate variable method is discussed in order that the Hamilton-Lie perturbation theory becomes applicable to ordinary differential equations that appear in plasma physics. The method is used to the analysis of charged particle motion in a magnetic field, and to the reduced MHD (MagnetoHydroDynamic) equations to derive a canonical 1-form of them. The 1-form thus obtained provides the initial step for the application of the Hamilton-Lie perturbation theory.

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