Abstract:

 Stabilizing unstable periodic points and bifurcational points of a chaotic electricaloptical bistable system were studied by means of  the feedback method. Based on the relations between state and the eigenvalue of Jacobi matrix of system, the coefficient can be ascertained,  and then the chaos control can be achieved. The   numerical calculation result shows that this method can fulfill the stable control of different periodic points and bifurcation points. Simultaneously, with the same method we can realize the stable control of different periodic states, such as periodic points of four, eight and the others.

Key words: electricaloptical bistable system, chaos control, Jacobi matrix; , eigenvalue