Controlling and synchronizing chaotic Genesio system via nonlinear feedback control

In this paper, a new method to control and synchronize chaotic Genesio system is proposed. We can design a nonlinear feedback controller to make the controlled system be stabilized at origin and two Genesio systems be synchronized. The stability analysis of controlled system becomes simple Hurwitz stability analysis provided that a parameter is chosen suitably. Numerical simulations verify the effectiveness of this method.