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Chaotic lag synchronization of coupled delayed neural networks and its applications in secure communication. (English) Zbl 1102.94010
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.

94A05Communication theory
34K23Complex (chaotic) behavior of solutions of functional-differential equations
34K35Functional-differential equations connected with control problems
92B20General theory of neural networks (mathematical biology)
93C40Adaptive control systems
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