关键词: 有限时间李雅普诺夫指数, 混沌控制, 轨道片段, 加性噪声

Abstract: A constant periodic pulse method for controlling chaos which makes the stable segment of the chaotic orbit form a closed orbit by acting periodic pulses on the system variables is proposed on the basis of the finite time Lyapunov exponents. This method is applied to a high dimensional system with two coupled standard maps. In addition to the results obtained in the low dimensional systems, the stabilized periodic orbit whose period is a multiple of the pulse interval is also found. This is one of the characters of the periodic pulse method. This method is robust under the presence of weak external noise.

Key words: finite time Lyapunov exponents, chaos control, stable segment, additive noise