Multiplexing synchronization and its applications in cryptography

In this paper, we consider the problem of multiplexing in chaotic synchronization where the transmitter is a delayed dynamical system, and there is more than one receiver represented by the usual nonlinear systems. Sufficient condition of synchronization is derived analytically from the Krasovskii-Lyapunov functional consisting of multidimensional error vectors. These are then substantiated numerically. Later, we show how these results can be used in chaotic cryptography where the communication between the transmitter and the receiver can carry more than one message. Finally, it is demonstrated how the messages can be recovered safely.