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Zbl 1059.93118
Li, Chuandong; Liao, Xiaofeng; Wong, Kwok-wo
Chaotic lag synchronization of coupled time-delayed systems and its applications in secure communication. (English)
[J] Physica D 194, No. 3-4, 187-202 (2004). ISSN 0167-2789

Summary: The issues of lag synchronization of coupled time-delayed systems with chaos are investigated in detail. Two different systems are considered, namely neural and Mackey-Glass systems. Some sufficient conditions for determining the lag synchronization between the drive and corresponding coupling systems are derived. Moreover, synchronization attributes, such as the relationship among the speed that lag synchronization can achieve, the time delays in the involved systems and the synchronization lag, are analyzed. By using the proposed lag synchronization technique with the chaotic masking strategy, an application to a secure communication scheme is also discussed. The effectiveness of the proposed approach is illustrated by computer simulations.

MSC 2000:: *93D20 Asymptotic stability of control systems
34K20 Stability theory of functional-differential equations
37D45 Strange attractors, chaotic dynamics
37N99 Applications of dynamical systems
93C23 Systems governed by functional-differential equations

Keywords: Lag synchronization; Delayed neural system; Chaos; Exponential stability; Mackey-Glass equation; Secure communication

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Zentralblatt MATH Berlin [Germany]