动力系统的点映射—胞映射综合法  

Point Mapping—Cell Mapping Synthesis Method for Dynamic System

作　　者：文成秀[1] 姚玉玺[1] 闻邦椿[1] 聂义勇[2] 

机构地区：[1]东北大学机械工程学院 [2]中国科学院现代制造CAD/CAM技术开放实验室

出　　处：《振动工程学报》1997年第4期413-419,共7页Journal of Vibration Engineering

基　　金：国家自然科学基金

摘　　要：提出了动力系统全局分析的一种数值算法：点映射—胞映射综合法。本方法将点映射法的精确性和胞映射法的高效率有机地结合起来，准确地搜索出动力系统中的周期运动，并用计算机绘图方法判断其周期运动的稳定性，适用于全局性态复杂的情况。A numerical alogorithm for dynamic systems called point mapping cell mapping synthesis method is presented.This method combines the accracy of point mapping and the efficency of cell mapping method.It can search out the periodic motions accurately and judge the stability of the periodic motions of nonlinear systems.It is suitable for complicated case of the global behaviour.The theoretical basis of the method and the scheme are demonstrated by some examples in this paper.

关 键 词：非线性 动力系统 点映射 胞映射法 稳定性 

分 类 号：O317.2[理学—一般力学与力学基础]