Asymptotic synchronization of Nadolschi chaotic systems with unknown parameters via adaptive control method

In this paper, the asymptotic synchronization of two identical Nadolschi chaotic systems with unknown parameters is investigated. First, by denoting the error signals as the difference of the state variables of the drive system and the state variables of the response system, the chaotic synchronization problem is transformed into the stabilization problem of the synchronization error system. Then, a novel adaptive controller is designed to realize the asymptotic synchronization of two identical Nadolschi chaotic systems with unknown parameters. By applying Lyapunov stability theory, the sufficient conditions for the asymptotic synchronization of two identical Nadolschi chaotic systems with unknown parameters are derived. Finally, the validity of the proposed chaotic synchronization scheme is demonstrated by the simulation results.