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Chaotic lag synchronization of coupled time-delayed systems and its applications in secure communication. (English) Zbl 1059.93118
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.
93D20Asymptotic stability of control systems
34K20Stability theory of functional-differential equations
37D45Strange attractors, chaotic dynamics
37N99Applications of dynamical systems
93C23Systems governed by functional-differential equations