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THE QUASI-FIXED-POINT TRACING METHOD FOR MULIT-PERIODIC-SOLUTIONS OF A NONLINEAR DYNAMIC SYSTEM
Author(s): 
Pages: 222-229
Year: Issue:  2
Journal: Acta Mechanica Sinica

Keyword:  非线性 动力系统 周期解 全局 不动点;
Abstract: 提出一种求解非线性动力系统多重周期解的新的思路和方法(伪不动点追踪法);这一方法由寻找非线性动力系统同时存在的各个周期解间的联系入手;引入一个反映系统全局瞬态信息的标量函数,将非线性动力系统求各个周期解的问题转化为此标量函数的寻优问题.文中以布鲁塞尔振子及轴承转子系统为例。顺序求得了T,3T,4T,…周期解,从而得到了一些新的现象和结论
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