摘要
本文首先利用 Melnikov 方法研究了在参数激励与强迫激励联合作用下具有 van der Pol 阻尼的非线性振动系统的同宿轨道分叉、次谐分叉和混沌,然后利用数值计算方法研究了这类系统的混沌运动。所得结果揭示了一些新的现象。
In this paper we use the Melnikov's method to study homoclinic and subharmonic bifurcations and chaos of anonlinear oscillator which includes van der Pol damping under combined parametric and forcing excitation.Then anumerical computing method is used to study the chaotic motion of this system.The results achieved reveal some newphenomena.
出处
《振动工程学报》
EI
CSCD
1991年第3期41-51,共11页
Journal of Vibration Engineering
关键词
非线性系统
振动
parametric excitation
homoclinic orbital bifurcations
subharmonic bifurcations
chaotic motion
Melnikov's method
