一般脉冲系统的Melnikov函数构造方法及其应用

Melnikov Method of Impulsive System and Its Application to Chaos Prediction

利用摄动法给出了一般脉冲系统Melnikov函数构造方法,得到脉冲信号作用下一般非线性系统Melnikov方法.为考察方法的有效性,将方法应用到脉冲信号作用下Duffing系统的混沌预测中去,通过方法得到脉冲信号作用下Duffing系统出现混沌的阈值曲线,数值实验结果验证理论结果的正确性.

The Construction method of general impulsive system is discussed in this paper using perturbation met hod, and an analytical method is given for the studying of impulsive system, and the necessary condition of chaos appearance in impulsive system is derived. Duffing system with impulsive signals is employed to show the efficiency of this method in the end.