The Uniformly Valid Solution for a Top System of Two Free Dimensions with Parameter  

参数的两自由度陀螺系统的一致有效解(英文)

作　　者：欧阳成 

机构地区：[1]Department of Mathematics,Huzhou Teachers College

出　　处：《Chinese Quarterly Journal of Mathematics》2009年第3期453-457,共5页数学季刊（英文版）

基　　金：Supported by the NNSF of China(10471039);Supported by the Natural Science Foundation of Zhejiang Province(Y606268);Supported by the E-Institutes of Shanghai Municipal Education Commission(E03004)

摘　　要：A general top system of two free dimensions with parameter is studied and the four cases satisfied by the frequency of the system are discussed.Using the multiple scale method,its uniformly valid asymptotic solution,which is expressed by complex amplitudes,of the first order is obtained.And solvable conditions satisfied by the complex amplitudes are given,and then the relative result is generalized.

关 键 词：uniformly valid asymptotic solution solvable condition multiple scale method 

分 类 号：O221[理学—运筹学与控制论] TP332[理学—数学]