Synchronization in coupled phase oscillators

TL;DR

This paper reviews synchronization in coupled phase oscillators, explores noise-induced synchronization in active rotators, and investigates phase oscillator synchronization on scale-free networks, revealing sharp transitions and hysteresis.

Contribution

It provides a comprehensive review and new insights into noise effects and network topology impacts on oscillator synchronization behaviors.

Findings

Optimal noise strength enhances synchronization.

Sharp transition and hysteresis observed in nonvariational systems.

Mean-field approximation captures the sharp transition.

Abstract

We make a short review about the synchronization in coupled phase oscillator models. Next, we study the common-noise-induced synchronization among active rotators. At an intermediate noise strength, the noise-induced synchronization takes place most effectively, which is analogous to the stochastic resonance. Finally, we study the synchronization of coupled phase oscillators with nonvariational interaction on scale-free networks. We find a sharp transition and a weak hysteresis in the nonvariational systems. The sharp transition is found also in the mean-field approximation.