Singular analysis of two-dimensional bifurcation system

被引：0
|
作者：
CHEN YuShu& QIN ZhaoHong School of Astronautics
机构：
来源：
Science China(Technological Sciences) | 2010年 / 03期
基金：
中国国家自然科学基金;
关键词：
two-dimensional bifurcation system; bifurcation; singular analysis;
D O I：
暂无
中图分类号：
O322 [非线性振动];
学科分类号：
摘要：
Bifurcation properties of two-dimensional bifurcation system are studied in this paper.Universal unfolding and transition sets of the bifurcation equations are obtained.The whole parametric plane is divided into several different persistent regions according to the type of motion,and the different qualitative bifurcation diagrams in different persistent regions are given.The bifurcation properties of the two-dimensional bifurcation system are compared with its reduced one-dimensional system.It is found that the system which is reduced to one dimension has lost many bifurcation properties.
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页码：608 / 611
页数：4
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