Universality in the synchronization of weighted random networks

TL;DR

This paper investigates how the synchronization of weighted complex networks depends primarily on mean degree and weight heterogeneity, offering insights into controlling network synchronization through key parameters.

Contribution

It introduces a framework showing that synchronization in weighted networks is governed by mean degree and intensity heterogeneity, linking topology and weights.

Findings

Synchronization depends on mean degree and intensity heterogeneity.

Large minimum degree enhances network synchronizability.

Manipulating few parameters can control synchronization.

Abstract

Realistic networks display not only a complex topological structure, but also a heterogeneous distribution of weights in the connection strengths. Here we study synchronization in weighted complex networks and show that the synchronizability of random networks with large minimum degree is determined by two leading parameters: the mean degree and the heterogeneity of the distribution of node's intensity, where the intensity of a node, defined as the total strength of input connections, is a natural combination of topology and weights. Our results provide a possibility for the control of synchronization in complex networks by the manipulation of few parameters.