一类对称系统准周期受迫振动的混沌  

Chaos in a Class of Quasipriodically Forced Symmtric Oscillations

作　　者：陈立群[1] 

机构地区：[1]鞍山钢铁学院机械系

出　　处：《鞍山钢铁学院学报》1993年第2期50-54,共5页Journal of Anshan Institute of Iron and Steel Technology

摘　　要：研究了一类具有对称性的非线性振子的准周期受迫振动,分析了相应未受摄动Hamilton可积系统的全局几何结构,由此用推广的Melnikov方法证明了混沌的存在性,最后与周期受迫振动的情形进行了比较。The quasiperiodically forced vibration of a symmtric nonlinear oscillator is examined. The global structure of the corresponding unperturbed hamiltonian system is analysed. The generalized Melnikov method is used to demonstrate the existence of chaos. The comparation between quasiperiodically and periodically forced oscillation is shortly remarked.

关 键 词：准周期 受迫振子 对称性 混沌 

分 类 号：O322[理学—一般力学与力学基础]