摘要
本文应用Normal Form理论和退化向量场的普适开折理论研究了参数激励与强迫激励联合作用下非线性振动系统的余维2退化分叉,用Melnikov方法讨论了全局分叉的存在性.
In this paper, we use normal form theory and universal unfolding theory of the degenerate vector field to study degenerate bifurcations of codimension two in nonlinear oscillator under combined parametric and forcing excitation. The existence of global bifurcation is discussed by using Melnikov's method.
出处
《应用力学学报》
CAS
CSCD
北大核心
1993年第2期75-79,共5页
Chinese Journal of Applied Mechanics
基金
国家自然科学基金
关键词
非线性振动
分叉
激励
振动理论
nonlinear oscillations
normal form theory
parametric and forcing excitation
degenerate bifurcations of codimension two
global bifurcation.
