A NEW HYPERCHAOTIC SYSTEM WITH COEXISTING ATTRACTORS: ITS CONTROL, SYNCHRONIZATION AND SECURE COMMUNICATION

A new hyperchaotic system with coexisting attractors based on Sprott B chaotic system is proposed in thiswork. A novel feature of this new hyperchaotic system under investigation is that it has two-wing and fourwing coexisting attractors for two sets of different initial conditions. Thus, the new hyperchaotic system hashidden attractors. Interestingly, the proposed designed control functionu (t)iusing adaptive controlmethod was able to control and globally synchronizes two identical new hyperchaotic systems evolvingfrom different initial conditions with uncertain parameters. The adaptive synchronization scheme wasapplied to secure communication. Finally, the numerical simulation results presented demonstrated theeffectiveness of the analytical results of the designed scheme.