Analysis and Control of a New Chaotic System

In this paper,a new three-dimensional autonomous chaotic system is presented.There are three control parameters and three different nonlinear terms in the governed equations.Through the calculation we obtain five equilibrium points.Then fix parameters,we obtain three real equilibrium points,According to the eigenvalues of Jacobian matrix,we know that s1 is a saddle point and s2、s3 are saddle-focus points.Then Lyapunov exponents,Lyapunov dimension,Bifurcation diagram and Poincare map are shown through matlab software.And then three different methods,the dislocated feedback control method,the enhancing feedback control method and the speed feedback control method,are used to control the new chaotic system.On the basis of the Routh-Hurwitz theorem,the conditions of stabilization are discussed,and they are also proved theoretically.Numerical simulations show the effectiveness of the three different methods.