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Zbl 1102.94010
Zhou, Jin; Chen, Tianping; Xiang, Lan
Chaotic lag synchronization of coupled delayed neural networks and its applications in secure communication. (English)
[J] Circuits Syst. Signal Process. 24, No. 5, 599-613 (2005). ISSN 0278-081X; ISSN 1531-5878/e

Summary: The issues of lag synchronization of coupled chaotic delayed neural networks are investigated. By using the adaptive control with the linear feedback updated law, some simple yet generic criteria for determining the lag synchronization of coupled chaotic delayed neural networks are derived based on the invariance principle of functional differential equations. It is shown that the approaches developed here further extend the ideas and techniques presented in the literature, and they are also simple to implement in practice. By using the proposed lag synchronization technique of coupled chaotic delayed neural networks, an application toward a secure communication scheme with certain external random noises is also discussed. Furthermore, the numerical simulations demonstrate the effectiveness and feasibility of the proposed techniques.

MSC 2000:: *94A05 Communication theory
94A60 Cryptography
34K23 Complex (chaotic) behavior of solutions of FDE
34K35 Functional-differential equations connected with control problems
92B20 General theory of neural networks
93C40 Adaptive control systems

Keywords: lag synchronization; chaos; adaptive control; chaotic delayed Hopfield neural networks; secure communication

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