Sustainability of Scale-Free Properties in Synchronizations of Dynamic Scale-Free Networks

TL;DR

This paper investigates whether the scale-free properties of dynamic networks are maintained during synchronization processes, using computational experiments on networks generated with specific algorithms.

Contribution

It introduces a systematic analysis of the sustainability of scale-free properties during different synchronization phenomena in dynamic networks.

Findings

Scale-free properties fluctuate during synchronization phases.

Synchronization based on node states and centralities affects network structure.

Dynamic networks can maintain or lose scale-free characteristics over time.

Abstract

Scale-free networks are ubiquitous in social, biological and technological networked systems. Dynamic Scale-free networks and their synchronizations are important to understand and predict the behavior of social, biological and technological networked systems. In this research, computational experiments have been conducted to understand the sustainability of scale-free properties during the time of synchronizations in dynamic scale-free networks. Two synchronization phenomena which are synchronization based on states of nodes with coupling configuration matrix and synchronization based on states of nodes with network centralities have been implemented for the synchronization in dynamic scale-free networks. In experiments, dynamic scale-free networks have been generated with a network generation algorithm and analyzed to understand the fluctuation from the scale-free properties in their phases during the time of synchronizations.