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

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