Nonlinear Mode Coupling and Relaxation Oscillations

Abstract
By means of simple model equations the mode coupling between linearly unstable and stable waves is investigated. A sharp relaxation oscillation, damped either in the presence of spontaneous emission, or by a quasilinear reduction of the growth rate, is found. Effects of external modulation of the growth rate are investigated. The final saturation level exhibits two-threshold behavior as a function of the growth rate.

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