摘要
研究了在频率微扰下舍二次非线性项系统受迫振动和参数激励振动，分析了相应未受扰动Ｈａｍｉｌｔｏｎ系统的全局结构，应用广义的Ｍｅｌｎｉｋｏｖ方法建立了混沌存在的必要条件。
In this paper, the forced and parametric excited vibration systems possessing a quadratic nonlinear term with perturbed frequency are respectively treated' The global structure of the corresponding unoerturbed Hamiltonian system is analysed. The generalized Melnikov method is used to present the necessary for appearance of chaos.
关键词
振动
非线性
频率
混沌
微扰
激振
Oscillation, Nonlinearity, Frequency Melnikov method, Chaos
