Chaotic lag synchronization of coupled time-delayed systems and its applications in secure communication

In this paper, 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, the application towards a secure communication scheme is also discussed. The effectiveness of the proposed approach is illustrated by computer simulations.