Enhance synchronizability by structural perturbations

TL;DR

This paper demonstrates that targeted structural perturbations at high-betweenness nodes significantly improve the synchronizability of scale-free networks, supported by simulations and theoretical analysis.

Contribution

It introduces a simple, effective method of structural perturbations at high-betweenness nodes to enhance network synchronizability, with both empirical and theoretical validation.

Findings

Eigenratio decreases by half with minimal perturbations

Targeted perturbations at hub nodes improve synchronization

Theoretical evidence links betweenness to synchronization efficiency

Abstract

In this paper, we investigate the collective synchronization of system of coupled oscillators on Barab\'{a}si-Albert scale-free network. We propose an approach of structural perturbations aiming at those nodes with maximal betweenness. This method can markedly enhance the network synchronizability, and is easy to be realized. The simulation results show that the eigenratio will sharply decrease to its half when only 0.6% of those hub nodes are under 3-division processes when network size N=2000. In addition, the present study also provides a theoretical evidence that the maximal betweenness plays a main role in network synchronization.