Reduced-order anti-synchronization of chaotic Genesio and hyper-chaotic Chen systems

In this paper we discuss the problem of reduced-order anti-synchronization. By taking the three-order chaotic Genesio system as the drive system and the four-order hyper-chaotic Chen system as the response system, we design a scheme of reduced-order anti-synchronization with nonlinear control method. Then the exponential stability of the error dynamical system at origin is analyzed. Finally, some numerical simulations are given to illustrate the effectiveness of the designed scheme.