Semicontraction and Synchronization of Kuramoto-Sakaguchi Oscillator Networks

This paper studies the celebrated KuramotoSakaguchi model of coupled oscillators adopting two recent concepts. First, we consider appropriately-defined subsets n-torus called winding cells. Second, analyze semicontractivity model, i.e., property that distance between trajectories decreases when measured according to a seminorm. establishes local Kuramoto-Sakaguchi which is equivalent contractivity for reduced model. The defined modulo rotational symmetry. domains where system semicontracting are convex phasecohesive Our sufficient conditions and estimates less conservative more explicit than in previous works. Based on semicontraction phase-cohesive subsets, establish at most uniqueness synchronous states within these domains, thereby characterizing multistability this