一类脉冲系统的Melnikov函数构造方法及其应用

Construction Method of a Kind of Impulsive System and Its Application

采用摄动法并参考光滑系统经典的Melnikov函数,建立定点脉冲系统同宿轨的Melnikov函数,得到了定点脉冲系统出现混沌的必要条件,为定点脉冲系统的研究提供了一种解析工具.利用定点脉冲信号作用下Duffing系统的混沌预测检验了本文Melnikov函数的有效性.

Melnikov function of impulsive system with fixed position signals is constructed by using perturbation method and the classic melnikov method in smooth system,and the necessary condition of chaos’s appearance in impulsive system with fixed impulsive signals is derived,which gives an analytical method to the studying of impulsive system.Chaos prediction of Duffing system with fixed impulsive signals is employed to show the efficiency of this method.