oscillation suppression

The phenomenon of oscillation suppression in ensembles of coupled phase­locked loop systems is discussed. The investigation of this phenomenon was performed for ensembles of three and fifty cascade coupled phase­locked loop systems with first­order filter in control circuits and without it, respectively. The possibilities of oscillation suppression in a part of phase oscillators of ensembles are demonstrated. Domains of the analysed effect existence are determined in the parameter space.

Forced synchronization of self­oscillating system with two degrees of freedom is studied in the case when there are no resonance relations between eigenfrequencies and interaction of the modes has the form of mode competition. Stability conditions for the regimes of one­ and two­frequency oscillations are obtained analytically. The structure of synchronization tongues on the frequency–amplitude of external driving parameters plane is studied numerically. Mechanisms of establishing of the synchronous regime are considered depending on coefficients of non­linear mode coupling.