Controlling chaos and synchronization for four-scroll dynamical chaotic system using nonlinear feedback control

In this letter, it is devoted to study the problem of nonlinear feedback controlling chaos and synchronization for new chaotic dynamical system (four-scroll dynamical system). Routh Hurwitz criteria is used to study the conditions of the asymptotic stability of the equilibrium points of the controlled system. A novel nonlinear controller is designed based on the Lyapunov stability theory and using nonlinear feedback control. The proposed controller ensures that the states of the controlled chaotic slave system asymptotically synchronizes the states of the master system. Meanwhile, Numerical simulations are presented to demonstrate the effectiveness of the proposed chaos control and synchronization. Schemes by using the Mathlab software.