Synchronization in networks of coupled oscillators with mismatches

Abstract

Abstract This perspective reviews the subject of synchronization in networks of coupled non-phase oscillators in the presence of parametric mismatches. We first discuss the case of small parametric mismatches, for which the conditions for stability of the synchronous solution are the same as in the case of identical oscillators, but the synchronization error increases with the size of the mismatches. We then analyze the case of larger parameter mismatches and provide an explanation for why parameter mismatches sometimes hinder and sometimes enhance stability of the synchronous solution.