Synchronization and desynchronization of complex dynamical networks: an engineering viewpoint

Author

Li, Xiang ; Chen, Guanrong

Volume

50

Issue

11

fYear

2003

Firstpage

1381

Lastpage

1390

Abstract

We study synchronization and desynchronization of a complex network of chaotic dynamical systems, in both continuous-time and discrete-time cases. With proved synchronization conditions, we illustrate network synchronization and desynchronization processes by a prototype composing of Henon maps in a scale-free network. We show that synchronization and desynchronization of such a complex dynamical network can be determined by the network topology and the maximum Lyapunov exponent of the individual chaotic nodes.

Keywords

Henon mapping; Lyapunov methods; chaos; circuit stability; continuous time systems; coupled circuits; discrete time systems; network topology; oscillators; synchronisation; Henon maps; chaotic dynamical systems; complex dynamical network; complex network; continuous-time case; desynchronization; discrete-time case; maximum Lyapunov exponent; n-dimensional dynamical chaotic oscillator; network topology; scale-free network; synchronization; Cellular neural networks; Chaos; Complex networks; Design engineering; IP networks; Large-scale systems; Lattices; Mathematical model; Network topology; Prototypes;

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/TCSI.2003.818611

Filename

1242836