Synchronous control of a four-dimensional hyperchaotic system and its application in secure communication

The synchronization of a couple of hyperchaotic systems is studied. Based on Lyapunov stabilization theory, the sufficient conditions and range of the control parameters for self-synchronization of the hyperchaotic system are derived through nonlinear feedback control method when parameters of the system are known. Synchronization of the hyperchaotic systems can be achieved quickly by selecting appropriate control parameters. A scheme of secure communication with injection type is designed based on synchronization of the coupled systems, and it can enhance the privacy of communications comparing with the simple chaotic masking method. The simulation results prove the feasibility and effectiveness of the scheme.