On Synchronization: Comments on the paper "Synchronization in scale-free dynamical networks: robustness and fragility", IEEE Trans. Circuits Syst. I 49 (1) (2002) 54-62

TL;DR

This paper clarifies misconceptions and corrects errors in the study of synchronization in linear coupled networks, emphasizing the importance of precise concepts and results for advancing understanding in this field.

Contribution

It provides critical comments that resolve confusions and inaccuracies in the existing literature on synchronization in scale-free dynamical networks.

Findings

Clarification of key synchronization concepts

Correction of previous misconceptions

Emphasis on precise analytical results

Abstract

Synchronization problem for linear coupled networks is a hot topic in recent decade. However, until now, some confused concepts and results still puzzle people. To avoid further misleading researchers, it is necessary to point out these misunderstandings, correct these mistakes and give precise results.