Global synchronization of coupled delayed neural networks and applications to chaotic CNN models

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Author(s)

Related Research Unit(s)

Detail(s)

Original languageEnglish
Pages (from-to)2229-2240
Journal / PublicationInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume14
Issue number7
Publication statusPublished - Jul 2004

Abstract

This paper formulates the model and then studies its dynamics of a system of linearly and diffusively coupled identical delayed neural networks (DNNs), which is generalization of delayed Hopfied neural networks (DHNNs) and delayed cellular neural networks (DCNNs). In particularly, a simple yet generic sufficient condition for global synchronization of such coupled DNNs is derived based on the Lyapunov functional methods and Hermitian matrix theory. It is shown that global synchronization of coupled DNNs is ensured by a suitable design of the coupling matrix and the inner linking matrix. Furthermore, the result is applied to some typical chaotic neural networks. Finally, numerical simulations are presented to demonstrate the effectiveness of the approach.

Research Area(s)

  • Chaos, Chaotic cellular neural networks, Delayed neural networks, Synchronization

Citation Format(s)

Global synchronization of coupled delayed neural networks and applications to chaotic CNN models. / Chen, Guanrong; Zhou, Jin; Liu, Zengrong.

In: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, Vol. 14, No. 7, 07.2004, p. 2229-2240.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review