Secure communications based on the synchronization of the hyperchaotic Chen and the unified chaotic systems

This paper deals with the adaptive synchronization of two identical hyperchaotic master and slave systems. The master system and the slave system each consists of two subsystems: a hyperchaotic Chen subsystem and a unified chaotic subsystem. The asymptotic convergence of the errors between the states of the master system and the states of the slave system is proven using Lyapunov theory. Simulation results are presented to illustrate the ability of the control law to synchronize the master and slave systems. Moreover, the proposed control scheme is applied to encrypt and decrypt discrete signals such as digital images where computer simulation results are provided to show that the proposed control law works well.

Research highlights
► The research paper deals with the adaptive synchronization of two hyperchaotic master and slave systems.
► Each of the hyperchaotic system consists of a hyperchaotic Chen and a unified chaotic subsystem.
► The asymptotic convergence of the errors between the states of the two systems was proven.
► The encryption and decryption of digital images were used as an application.