A method of chaos control based on the linear and nonlinear transformation of system variables

In this paper,a method of chaos control based on the linear and nonlinear transformation of system variables is proposed. The Henon map and Lorenz system are taken as two typical examples to demonstrate the effectiveness of this method. The results show that the UPOs embedded in the chaotic system can be stably controlled by changing the linear transformation matrix of system variables. We can obtain lots of new stable dynamical behavior when this method is extended to nonlinear transformation. At the same time, we discuss the physical mechanism of this chaos control method from point of view of the information entropy.