Title :
Synchronization and desynchronization of complex dynamical networks: an engineering viewpoint
Author :
Li, Xiang ; Chen, Guanrong
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;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
DOI :
10.1109/TCSI.2003.818611
