Synchronization in scale-free dynamical networks: robustness and fragility

Author

Wang, Xiao Fan ; Chen, Guanrong

Author_Institution

Dept. of Autom., Shanghai Jiao Tong Univ., China

Volume

49

Issue

1

fYear

2002

fDate

1/1/2002 12:00:00 AM

Firstpage

54

Lastpage

62

Abstract

Recently, it has been demonstrated that many large complex networks display a scale-free feature, that is, their connectivity distributions are in the power-law form. In this paper, we investigate the synchronization phenomenon in scale-free dynamical networks. We show that if the coupling strength of a scale-free dynamical network is greater than a positive threshold, then the network will synchronize no matter how large it is. We show that the synchronizability of a scale-free dynamical network is robust against random removal of nodes, but is fragile to specific removal of the most highly connected nodes

Keywords

chaos; circuit stability; coupled circuits; graph theory; network topology; synchronisation; connectivity distributions; coupling strength; fragility; large complex networks; positive threshold; power-law form; random removal; robustness; scale-free dynamical networks; synchronizability; synchronization; synchronization phenomenon; Biochemistry; Complex networks; Displays; Erbium; Intelligent networks; Internet; Large-scale systems; Network topology; Robustness; Web sites;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.974874

Filename

974874