Synchronizations in Oscillatory Networks with Memristor Couplings as Ring Structure

In this study, we propose the coupled oscillatory networks with the memristor couplings as a ring structure. We focus on the dynamics of the memristor couplings, and investigate synchronization phenomena. As a result, this study observes three different synchronization state types: multi-phase synchronization state, in-phase and anti-phase synchronization state and amplitude death. In addition, we analyze the power consumption of the memristor couplings to make clear the cause of phase sift.