Synchronization of impulsively coupled complex systems with delay

Wen Sun; Francis Austin; Jinhu Lü; Shihua Chen

doi:10.1063/1.3633081

Synchronization of impulsively coupled complex systems with delay

Wen Sun^*
, Francis Austin
, Jinhu Lü
, Shihua Chen

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

22 Scopus citations

Abstract

This paper investigates the synchronization of complex systems with delay that are impulsively coupled at discrete instants only. Based on the comparison theorem of impulsive differential system, a distributed impulsive control scheme is proposed to achieve the synchronization for systems with delay. In the control strategy, the influence of all nodes to network synchronization relies on its weight. The proposed control scheme is applied to the chaotic delayed Hopfield neural networks and numerical simulations are presented to demonstrate the effectiveness of the proposed scheme.

Original language	English
Article number	033123
Journal	Chaos
Volume	21
Issue number	3
DOIs	https://doi.org/10.1063/1.3633081
State	Published - 19 Jul 2011
Externally published	Yes

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title = "Synchronization of impulsively coupled complex systems with delay",

abstract = "This paper investigates the synchronization of complex systems with delay that are impulsively coupled at discrete instants only. Based on the comparison theorem of impulsive differential system, a distributed impulsive control scheme is proposed to achieve the synchronization for systems with delay. In the control strategy, the influence of all nodes to network synchronization relies on its weight. The proposed control scheme is applied to the chaotic delayed Hopfield neural networks and numerical simulations are presented to demonstrate the effectiveness of the proposed scheme.",

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AU - Sun, Wen

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AU - Lü, Jinhu

AU - Chen, Shihua

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Y1 - 2011/7/19

N2 - This paper investigates the synchronization of complex systems with delay that are impulsively coupled at discrete instants only. Based on the comparison theorem of impulsive differential system, a distributed impulsive control scheme is proposed to achieve the synchronization for systems with delay. In the control strategy, the influence of all nodes to network synchronization relies on its weight. The proposed control scheme is applied to the chaotic delayed Hopfield neural networks and numerical simulations are presented to demonstrate the effectiveness of the proposed scheme.

AB - This paper investigates the synchronization of complex systems with delay that are impulsively coupled at discrete instants only. Based on the comparison theorem of impulsive differential system, a distributed impulsive control scheme is proposed to achieve the synchronization for systems with delay. In the control strategy, the influence of all nodes to network synchronization relies on its weight. The proposed control scheme is applied to the chaotic delayed Hopfield neural networks and numerical simulations are presented to demonstrate the effectiveness of the proposed scheme.

UR - https://www.scopus.com/pages/publications/80053403464

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DO - 10.1063/1.3633081

M3 - 文章

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SN - 1054-1500

VL - 21

JO - Chaos

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Synchronization of impulsively coupled complex systems with delay

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