关于规范矢量场的计算

规范形理论是常微分程中分叉和浑沌研究的基本工具。将一个给定矢量场转化为它的规范形是规范形研究的基本内容之一，也是国内外众多学者年年来关心和研究的热门课题。文中利用计算机代数技术，提出一种计算规范矢量场的新方法，从而成功地解决了带有小参数扰动的半单规范形计算问题。

On the Calculation of Normal Vectorfield

The normal form theory is the basic tool of the study of bifurcation and chaos of or-dinary differential equations. Translating the given vectorfield to its normal form is one of thebasic ingredients of the normal form theory, is also important topics studied by many scholarsrecently. The authors propose a new calculating method on the normal form by using computeralgebra technique, and solve the difficulty in calculating semi simple normal form of perturba-tion systems successfully.