| 正规形的复内积平均法 |
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| 引用本文： | 陈予恕,孙洪军.正规形的复内积平均法[J].应用数学和力学,2001,22(12):1230-1235. |
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| 作者姓名： | 陈予恕 孙洪军 |
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| 作者单位： | 天津大学力学系, 天津, 300072 |
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| 基金项目： | 国家自然科学基金资助项目(重大19990510),国家重点基础研究专项经费资助项目(G1998020316),教育部博士点基金资助项目(D09901) |
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| 摘 要： | 提出了求解非线性动力系统正规形的复内积平均法,与传统的平均法相比,其理论分析过程具有更加简单的形式,易于编程实现,可求到任意阶近似,并统一了自治系统与非自治系统的求解过程,最后求解一个例题来验证了该方法.
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| 关 键 词： | 非线性动力系统 正规形 复内积平均法 |
| 文章编号： | 1000-0887(2001)12-1230-06 |
| 收稿时间： | 2000-10-10 |
| 修稿时间： | 2000年10月10 |
Complex Inner Product Averaging Method for Calculating Normal Form of ODE |
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| CHEN Yu_shu,SUN Hong_jun.Complex Inner Product Averaging Method for Calculating Normal Form of ODE[J].Applied Mathematics and Mechanics,2001,22(12):1230-1235. |
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| Authors: | CHEN Yu_shu SUN Hong_jun |
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| Institution: | Department of Mechanics, Tianjin University, Tianjin 300072, P. R. China |
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| Abstract: | This paper puts forward a complex inner product averaging method for calculating normal form of ODE. Compared with conventional averaging method, the theoretic analytical process has such simple forms as to realize computer program easily. Results can be applied in both autonomous and non_autonomous systems. At last, an example is resolved to verify the method. |
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| Keywords: | non_linear dynamic system normal form complex inner product averaging method |
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