摘要
分别研究了非对称Duffing振子的准周期受近和参数激励振动,分析了相应未受摄动Hamilton系统的全局结构,应用推广的Melnikov方法给出了混沌存在的必要条件,考虑了增加激励对混沌阈值的影响。
In this paper, the quasiperiodically forced and excited parametrically vibration of nonsymmetric Duffing's oscillators are respectively investigated. The global structure of the corresponding unperturbed Hamiltonian system is analyzed. The generalized Melnikov method is applied to present the necessary condition for the existence of the chaos. The effect of the number of excitation on the chaotic behaviour is examined.
出处
《上海力学》
CSCD
1995年第1期35-39,共5页
Chinese Quarterly Mechanics
关键词
非线性
准周期
振动
浑沌
杜分振子
Nonlinearity, Quasiperiod, Nonsymmetic Duffing/s oscillator, Melnikov's method, Chaos.
