Impulsive synchronization of general continuous and discrete-time complex dynamical networks

This paper mainly investigates the impulsive synchronization of a general complex continuous and discrete-time dynamical network. Firstly, for the continuous complex networks, we give a sufficient condition to guarantee its synchronization. When the sufficient condition is not satisfied, the impulsi...

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Bibliographic Details
Published in:Communications in nonlinear science & numerical simulation 2010-04, Vol.15 (4), p.1063-1070
Main Authors: Zhang, Qunjiao, Lu, Jun-an, Zhao, Junchan
Format: Article
Language:English
Subjects:
Chen system
Computer simulation
Continuous
Controllers
Criteria
Discrete-time
Dynamical networks
Hénon map
Impulsive synchronization
Mathematical models
Networks
Oscillators
Synchronism
Synchronization
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Summary:This paper mainly investigates the impulsive synchronization of a general complex continuous and discrete-time dynamical network. Firstly, for the continuous complex networks, we give a sufficient condition to guarantee its synchronization. When the sufficient condition is not satisfied, the impulsive controllers are utilized, and some novel criteria are derived to guarantee the network synchronization in this case. What is more significant is that the similar work is extended to the discrete-time networks model. Finally, the results are, respectively, illustrated by a continuous network composed with the chaotic Chen oscillators and a discrete-time network consisting of Hénon map. All numerical simulations verify the effectiveness of the theoretical analysis.
ISSN:1007-5704
1878-7274
DOI:10.1016/j.cnsns.2009.05.048