Synchronization Analysis of Two Weakly Coupled Oscillators Through a PPV Macromodel

This paper adopts a phase-domain macromodel based on perturbation projection vector to study the synchronization effects that take place between two weakly coupled oscillators. Original closed-form expressions for the locking region of the coupled oscillators and for the common locking frequency are derived. The route to synchronization is described analytically by predicting the oscillation frequency shifts, which are induced by mutual pulling as a function of the interaction strength. Under the assumption of a weak coupling, the proposed approach can be applied to a wide class of oscillator topologies.