Dislocated projective synchronization of Qi hyper-chaotic system and its application to secure communication
超混沌Qi系统的错位投影同步及其在保密通信中的应用

This paper focuses on a new type of dislocated projective synchronization, in which, the state variables of drive system and resporse system, at least one pair is required not to synchronize in proportion to the original corresponding state variable, but to realige the projective synchronization in proportion to dislocation relation of vectors. Here a new Qi hyper-chaotic system is taken for example, which has 23 synchronized schemes. Using the Lyapunov stability theory, a nonlinear controller is presented and a kind of disorder projective synchronization for Qi system is successfully completed. Then this method is applied to secure communication through improved chaotic masking. The information signal is mixed with the chaotic signal before being transmitted, and is recovered without distortion through the synchronized receiver. Simulation results show that the scheme has a good performance.