Study of the stability of stationary regimes of many-circuite oscillator

An oscillator with slightly nonlinear active element characteristic bound to an arbitrary linear oscillatory system is considered in the article. Stability equations and equations for determining the stationary amplitude and frequency of the self - excited oscillations of sucha system are obtained. The equations are written in a form convient for computing the stability of the steady states of real multi - circuit self - excitedo scillatory systems. As an example, stability criteria for the self - excited oscillations in a three - circuit frequency stabilization system with a large regeneration reserve in the oscillatory circuit are obtained.