Optimization of synchronizability in multiplex networks

TL;DR

This paper explores how to optimize synchronizability in multiplex networks, highlighting the critical role of interlayer coupling strength and resulting in networks with homogeneous degree and betweenness centrality.

Contribution

It reveals the importance of interlayer coupling strength in optimizing multiplex networks and explains how network properties evolve to enhance synchronizability.

Findings

Optimized networks exhibit degree and betweenness homogeneity.

Interlayer coupling strength significantly influences layer properties.

Network properties are shaped by evolution towards better synchronizability.

Abstract

We investigate the optimization of synchronizability in multiplex networks and demonstrate that the interlayer coupling strength is the deciding factor for the efficiency of optimization. The optimized networks have homogeneity in the degree as well as in the betweenness centrality. Additionally, the interlayer coupling strength crucially affects various properties of individual layers in the optimized multiplex networks. We provide an understanding to how the emerged network properties are shaped or affected when the evolution renders them better synchronizable.