双参数动力学系统中混沌的控制

CONTROLLING CHAOS OF TWO-PARAMETER DYNAMICAL SYSTEM

研究了双参数动力学系统中混沌行为的控制问题,提出了控制混沌的参数微调方法,给出了参数变化方程,然后应用到两个例子:Henon映射和强迫布鲁塞耳振子,得到了很好的控制结果,并且与单参数的Ott,Grebogi和Yorke(OGY)方法进行了比较,最后对有关问题进行了讨论.

We study the problem of controlling chaotic behavior of two-parameter dynami cal system. We suggest the small parameter adjust method of controlling chaos and give the equations of variation of parameters. Then we apply this method to twoexamples-Henon map and forced Brusslator, and get the better results of control.We compare the method to OGY method of one-parameter. Finally, we discuss some related problems.