Abstract

This study analyzed the Sprott I system through synchronization using active backstepping control, circuit realization and demonstrated its application to secure communication. The feasibility of the theoretical model of the Sprott I system was verified with the useful resource of the electronic circuit designed. Two identical Sprott I chaotic systems evolving from different initial conditions were globally synchronized by designing a nonlinear feedback controller using active backstepping technique. The controller was shown to effectively synchronize the Sprott I systems when activated. The application of the results to secure communication was presented numerically by synchronizing two chaotic Sprott I systems with a variable of the drive being encrypted information via a coupling channel. The encrypted signal was a superposition of sinusoidal information specified by a periodic function and chaotic carrier generated from a variable of the chaotic Sprott I system using additive encryption masking scheme. The transmitted information signal was shown to be retrievable from the chaotic response signal by inverse function decryption algorithm, thus confirming the effectiveness and robustness of the controller.