Synchronization in linearly coupled dynamical networks with distributed time delays

Chun Hsien Li; Suh Yuh Yang

doi:10.1142/S0218127408021531

Synchronization in linearly coupled dynamical networks with distributed time delays

Chun Hsien Li, Suh Yuh Yang

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

20 Scopus citations

Abstract

In this paper, we investigate the global exponential synchronization of linearly coupled dynamical networks with time delays. The time delay considered is of the distributed type and the outer-coupling matrix is not assumed to be symmetric. Employing the Lyapunov functional and matrix inequality techniques, we propose a sufficient condition for the occurrence of global exponential synchronization. Two illustrative examples, the coupled Chua's circuits and the coupled Hindmarsh-Rose neurons, and their numerical simulation results are presented to demonstrate the theoretical analyses.

Original language	English
Pages (from-to)	2039-2047
Number of pages	9
Journal	International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume	18
Issue number	7
DOIs	https://doi.org/10.1142/S0218127408021531
State	Published - Jul 2008

Keywords

Coupled Chua's circuits
Coupled Hindmarsh-Rose neurons
Distributed time delays
Exponential synchronization
Linearly coupled dynamical networks

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abstract = "In this paper, we investigate the global exponential synchronization of linearly coupled dynamical networks with time delays. The time delay considered is of the distributed type and the outer-coupling matrix is not assumed to be symmetric. Employing the Lyapunov functional and matrix inequality techniques, we propose a sufficient condition for the occurrence of global exponential synchronization. Two illustrative examples, the coupled Chua's circuits and the coupled Hindmarsh-Rose neurons, and their numerical simulation results are presented to demonstrate the theoretical analyses.",

keywords = "Coupled Chua's circuits, Coupled Hindmarsh-Rose neurons, Distributed time delays, Exponential synchronization, Linearly coupled dynamical networks",

author = "Li, {Chun Hsien} and Yang, {Suh Yuh}",

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AU - Li, Chun Hsien

AU - Yang, Suh Yuh

N1 - Funding Information: ∗This work was supported in part by the National Science Council of Taiwan. ‡Author for correspondence

PY - 2008/7

Y1 - 2008/7

N2 - In this paper, we investigate the global exponential synchronization of linearly coupled dynamical networks with time delays. The time delay considered is of the distributed type and the outer-coupling matrix is not assumed to be symmetric. Employing the Lyapunov functional and matrix inequality techniques, we propose a sufficient condition for the occurrence of global exponential synchronization. Two illustrative examples, the coupled Chua's circuits and the coupled Hindmarsh-Rose neurons, and their numerical simulation results are presented to demonstrate the theoretical analyses.

AB - In this paper, we investigate the global exponential synchronization of linearly coupled dynamical networks with time delays. The time delay considered is of the distributed type and the outer-coupling matrix is not assumed to be symmetric. Employing the Lyapunov functional and matrix inequality techniques, we propose a sufficient condition for the occurrence of global exponential synchronization. Two illustrative examples, the coupled Chua's circuits and the coupled Hindmarsh-Rose neurons, and their numerical simulation results are presented to demonstrate the theoretical analyses.

KW - Coupled Chua's circuits

KW - Coupled Hindmarsh-Rose neurons

KW - Distributed time delays

KW - Exponential synchronization

KW - Linearly coupled dynamical networks

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DO - 10.1142/S0218127408021531

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SN - 0218-1274

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EP - 2047

JO - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

JF - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

IS - 7

ER -

Synchronization in linearly coupled dynamical networks with distributed time delays

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Keywords

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