含一类非线性项受迫振动系统混沌运动的抑制

本文研究了用与受迫力谐波共振的周期摄动抑制含二次非线性项受迫振动系统中的混沌。由广义Ｍｅｌｎｉｋｏｖ方法可知，当原振动系统呈现混沌性态时，施加线性项参数激励、非线性项参数激励和外激励均可以使混沌运动受到抑制，条件是所施加激励与原系统中的周期性受迫力谐波共振。

Suppression of Chaotic Motion in A Nonlinear Oscillations

In this paper,suppression of chaos in a forced vibration system with a square term by resonant periodic perturbations is studied.By using the generalized Melnikov method,it is demonstrated that,when the original system is chaotic,appling the linear parametric excition,nonlinear parametric excition,or exlernal excition can suppress the chaotic motion.The condition of the suppression is that the applied excitions are resonant with the periodic force in the original system.