Cluster Synchronization of Linearly Coupled Complex Networks Under Pinning Control

In this paper, we focus on the problem of driving a general network to a selected cluster synchronization pattern by means of a pinning control strategy. Sufficient conditions are presented to guarantee the realization of the cluster synchronization pattern for all initial values. We also show the d...

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Vydané v:IEEE transactions on circuits and systems. I, Regular papers Ročník 56; číslo 4; s. 829 - 839
Hlavní autori: Wei Wu, Wei Wu, Wenjuan Zhou, Wenjuan Zhou, Tianping Chen, Tianping Chen
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: New York IEEE 01.04.2009
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Predmet:
Adaptive adjustment
Chaos
Chaotic communication
cluster synchronization
Clusters
Complex networks
Differential equations
globally asymptotically stable
Joining
linearly coupled networks
Mathematics
Networks
Neural networks
Oscillators
Pinning
pinning control
Seismology
Strategy
Strength
Sufficient conditions
Synchronism
Synchronization
Systems biology
ISSN:1549-8328, 1558-0806
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Popis
Shrnutí:In this paper, we focus on the problem of driving a general network to a selected cluster synchronization pattern by means of a pinning control strategy. Sufficient conditions are presented to guarantee the realization of the cluster synchronization pattern for all initial values. We also show the detailed steps on how to construct the coupling matrix and to modify the control strengths. Moreover, the method of adapting the coupling strength is provided to refine the result.
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ISSN:1549-8328
1558-0806
DOI:10.1109/TCSI.2008.2003373