Chaos Synchronization and its Application in Parallel Cryptography

This paper proposes an underactuated synchronization scheme for Chua's system with application in analog secure communication. Based on Lyapunov's theory, a control scheme is presented, which in contrast to the most commonly found in literature, uses a proportional control signal in only one of the state equations of the slave system. The main advantages of the proposed secure communication scheme are its simplicity and robustness against internal and external disturbances. Disturbances were considered in the stability analysis. These peculiarities are of great significance in practical applications. To validate the proposed approach, we considered a synchronization of two chaotic Chua circuits in the presence of disturbances.