MATHEMATICAL MODELS FOR NONLINEAR MODE INTERACTIONS IN BOUNDED PLASMAS.
MARYLAND UNIV COLLEGE PARK INST FOR FLUID DYNAMICS AND APPLIED MATHEMATICS
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Mathematical models are derived which reproduce a number of physical phenomena that have been observed in experiments on instabilities in continuously operating cw plasma devices. Of particular concern is the description of self-excited, steady-state oscillation in systems that can oscillate in more than one mode simultaneously. Although many of the experimental results are derived from work with a thermal plasma device Q-machine, the general approach should be useful for other situations in which quasi-stationary oscillations are observed experimentally. The central point of the entire analysis is the description of the temporal behavior of the normal mode or eigenfunction by the Van der Pol equation.
- Fusion Devices (Thermonuclear)
- Plasma Physics and Magnetohydrodynamics