| STUDYING THE FOCAL VALUE OF ORDINARY DIFFERENTIAL EQUATIONS BY NORMAL FORM THEORY |
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| 引用本文： | 张琪昌,梁以德. STUDYING THE FOCAL VALUE OF ORDINARY DIFFERENTIAL EQUATIONS BY NORMAL FORM THEORY[J]. 应用数学和力学(英文版), 1995, 16(9): 891-900. DOI: 10.1007/BF02458614 |
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| 作者姓名： | 张琪昌 梁以德 |
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| 作者单位： | Zhang Qichang ( Tianjin University.Tianjin 300072. P. R. China)A. Y. T. Leung (University of Hong，Hong Kong ) |
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| 基金项目： | Project supported by the National Natural Science Foundation of China |
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| 摘 要： | ＳＴＵＤＹＩＮＧＴＨＥＦＯＣＡＬＶＡＬＵＥＯＦＯＲＤＩＮＡＲＹＤＩＦＦＥＲＥＮＴＩＡＬＥＱＵＡＴＩＯＮＳＢＹＮＯＲＭＡＬＦＯＲＭＴＨＥＯＲＹＺｈａｎｇＱｉｃｈａｎｇ（张琪昌）（ＴｉａｎｊｉｎＵｎｉｖｅｒｓｉｔｙ．Ｔｉａｎｊｉｎ３０００７２．Ｐ．Ｒ．Ｃ...
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| 收稿时间： | 1994-09-16 |
Studying the focal value of ordinary differential equations by normal form theory |
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| Zhang Qichang,A. Y. T. Leung. Studying the focal value of ordinary differential equations by normal form theory[J]. Applied Mathematics and Mechanics(English Edition), 1995, 16(9): 891-900. DOI: 10.1007/BF02458614 |
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| Authors: | Zhang Qichang A. Y. T. Leung |
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| Affiliation: | 1. Tianjin University, Tianjin 300072, P. R. China;2. University of Hong, Hong Kong |
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| Abstract: | We present a new method to calculate the focal value of ordinary differential equation by applying the theorem defined the relationship between the normal form and focal value,with the help of a symbolic computation language M ATHEMATICA,and extending the matrix representation method.This method can be used to calculate the focal value of any high order terms.This method has been verified by an example.The advantage of this method is simple and more readily applicable.the result is directly obtained by substitution. |
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| Keywords: | normal form ordinary differential equation focal value Mathematica |
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