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Applied Mathematics and Mechanics (English Edition) ›› 1995, Vol. 16 ›› Issue (9): 891-900.

• 论文 • 上一篇    下一篇

STUDYING THE FOCAL VALUE OF ORDINARY DIFFERENTIAL EQUATIONS BY NORMAL FORM THEORY

张琪昌1, 梁以德2   

  1. 1. Tianjin University, Tianjin 300072, P. R. China;
    2. University of Hong, Hong Kong
  • 收稿日期:1994-09-16 出版日期:1995-09-18 发布日期:1995-09-18
  • 基金资助:

    Project supported by the National Natural Science Foundation of China

STUDYING THE FOCAL VALUE OF ORDINARY DIFFERENTIAL EQUATIONS BY NORMAL FORM THEORY

Zhang Qichang1, A. Y. T. Leung2   

  1. 1. Tianjin University, Tianjin 300072, P. R. China;
    2. University of Hong, Hong Kong
  • Received:1994-09-16 Online:1995-09-18 Published:1995-09-18
  • Supported by:

    Project supported by the National Natural Science Foundation of China

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摘要： 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.

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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