Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (12): 1368-1374.

• 论文 • 上一篇    下一篇

COMPLEX INNER PRODUCT AVERAGING METHOD FOR CALCULATING NORMAL FORM OF ODE

陈予恕, 孙洪军   

  1. Department of Mechanics, Tianjin University, Tianjin 300072, P. R. China
  • 收稿日期:2000-10-10 修回日期:2001-06-26 出版日期:2001-12-18 发布日期:2001-12-18
  • 基金资助:
    the National Natural Science Foundation of China(19990510);the National Key Basic Research Spacial Fund(1998020316);Doctoral Point Fund(D09901)

COMPLEX INNER PRODUCT AVERAGING METHOD FOR CALCULATING NORMAL FORM OF ODE

CHEN Yu-shu, SUN Hong-jun   

  1. Department of Mechanics, Tianjin University, Tianjin 300072, P. R. China
  • Received:2000-10-10 Revised:2001-06-26 Online:2001-12-18 Published:2001-12-18
  • Supported by:
    the National Natural Science Foundation of China(19990510);the National Key Basic Research Spacial Fund(1998020316);Doctoral Point Fund(D09901)

摘要: 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.

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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