A New Chaotic System and its Chaotic Control

摘要

In this paper, a new three-dimensional autonomous chaotic system is presented. There are three control parameters and three different nonlinear term in the governed equations. Basic dynamic properties of the new system are investigated via theoretical analysis and numerical simulation. 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.