Finite Time Synchronization for High Dimensional Chaotic Systems and Its Application to Secure Communication

Abstract

The finitetime synchronization for the highdimensional chaotic system is studied. A method is derived from the finitetime stability theory and adaptive control technique. To show the wider applicability of our method, an illustration is given using fourdimensional (4D) hyperchaotic systems. Numerical simulations are also used to verify the effectiveness of the technique. Then, the synchronization is applied to secure communication through chaos masking. Simulation results show that the two highdimensional chaotic systems can realize monotonous synchronization, and the information signal, which is masked, can be recovered undistortedly.