一类求解非线性动力系统高阶规范形的新方法  

A NEW APPROACH FOR COMPUTING NORMAL FORMS OF HIGH DIMENSIONAL NONLINEAR SYSTEMS

作　　者：陈淑萍[1] 张伟[1] 

机构地区：[1]北京工业大学机电学院,北京100124

出　　处：《动力学与控制学报》2013年第3期193-198,共6页Journal of Dynamics and Control

基　　金：国家自然科学基金重点资助项目(10732020)和国家自然科学基金资助项目(11072008)~~

摘　　要：利用改进后的规范形理论研究了四维三阶非线性系统最简规范形的计算.介绍了计算四维非线性系统最简规范形的改进方法,得到计算四维非线性系统最简规范形的通用公式.通过对一个实际振动系统的分析,用数值仿真方法验证了该方法在研究高维非线性系统中的有效性.This paper develops a new computation method for obtaining a significant refinement of the normal forms for high dimensional nonlinear systems. Several ex compute the coefficients of the simplest normal form an pli d cit formulae are derived herein, which can be used to the associated nonlinear transformation. Through the illustrative example, the feasibility and merit of this novel method are also demonstrated and discussed.

关 键 词：最简规范形 非线性变换 非线性振动 蜂窝夹层板 

分 类 号：O19[理学—数学]