确定延迟反馈法控制低维混沌系统的控制条件

DEFINING THE CONTROLLING CONDITIONS OF LOW-DIMENSIONAL CHAOTIC SYSTEMS CONTROLLED BY TIME DELAYED FEEDBACK

基于数学上分析延迟系统产生Hopf分支的条件及处理方法 ,针对用延迟反馈法控制低维混沌系统的情况 ,提出了确定其控制条件的一般解析方法 .利用这种解析方法 ,可以从理论上得到控制参量间的函数关系 .将该方法应用到一些实例中 。

Based on the occurrence conditions of Hopf bifurcation of a delay system and corresponding handling methods, we have proposed an analytic method for achieving the controlling conditions when a low-dimensional chaotic system is controlled by applying time-delayed feedback on a control variable. Using an analytic method, we can obtain the functional relation of various parameters at the critical points. This method has been applied to some examples and the results show that it is an important means to control chaotic systems.