Synchronization in large directed networks of coupled phase oscillators

TL;DR

This paper extends theoretical models of synchronization transition to large directed networks of coupled phase oscillators, including mixed coupling types, and validates the models with numerical simulations.

Contribution

It introduces a theoretical framework for synchronization in directed and mixed-coupling oscillator networks, expanding previous undirected models.

Findings

Good agreement between theory and simulations

Extended models to directed and mixed coupling networks

Enhanced understanding of synchronization transitions

Abstract

We extend recent theoretical approximations describing the transition to synchronization in large undirected networks of coupled phase oscillators to the case of directed networks. We also consider extensions to networks with mixed positive/negative coupling strengths. We compare our theory with numerical simulations and find good agreement.