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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)
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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.
作者 欧阳成
机构地区 Department of Mathematics
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 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)
关键词 uniformly valid asymptotic solution solvable condition multiple scale method 系统频率 有效解 一致有效渐近解 尺寸 多尺度方法 一阶
分类号 O221 [理学—运筹学与控制论] TP332 [自动化与计算机技术—计算机系统结构]
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参考文献9

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二级参考文献8

共引文献26

Chinese Quarterly Journal of Mathematics
2009年 第3期

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