摘要
研究了软弹簧Ｄｕｆｆｉｎｇ振子的准周期受迫振动和多数激励振动．分析了相应未受摄动Ｈａｍｉｌｔｏｎ系统的全局结构，应用推广的Ｍｅｌｎｉｋｏｖ方法分别给出两个振系的混沌阈值，最后考虑了增加激励数目的影响。
The quasiperiodically forced and parametrically excited oscillation of soft-spring Duffing system are treated respectively. The global structure of the corresponding unperturbed Hamiltonian system is analysed. The generalized Melnikov method is used to obtain the chaos threshold of the systems. The effect of the number of excitation on the chaos threshold is remarked.
出处
《鞍山钢铁学院学报》
1994年第1期24-27,共4页
Journal of Anshan Institute of Iron and Steel Technology
关键词
软弹簧
杜分振子
准周期
混沌
nonlinearity, soft-spring Duffing Oscillator, quasiperiod, generalized Melnikov'smethod, chaos
