Enhance synchronizability via age-based coupling

TL;DR

This paper introduces an age-based coupling method to improve synchronization in growing scale-free networks, ensuring non-negative eigenvalues and approaching optimal eigenratio as the parameter increases.

Contribution

The study proposes a novel asymmetrical age-based coupling scheme with a single parameter that guarantees non-negative eigenvalues and enhances network synchronizability.

Findings

Eigenratio R approaches 1 as α increases.

Coupling matrix remains asymmetric but eigenvalues are non-negative.

Method improves synchronization in scale-free networks.

Abstract

In this brief report, we study the synchronization of growing scale-free networks. An asymmetrical age-based coupling method is proposed with only one free parameter $\alpha$. Although the coupling matrix is asymmetric, our coupling method could guarantee that all the eigenvalues are non-negative reals. The eigneratio R will approach to 1 in the large limit of $\alpha$.