Unique Normal Form and the Associated Coefficients for a Class of Three-Dimensional Nilpotent Vector Fields

被引：3

作者：

Li, Jing ^{[1
]}

Kou, Liying ^{[1
]}

Wang, Duo ^{[2
]}

机构：

[1] Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

[2] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2017年 / 27卷 / 14期

基金：

北京市自然科学基金; 中国国家自然科学基金;

关键词：

Three-dimensional nilpotent vector field; unique normal form; multiple Lie bracket; transformation with parameters; REDUCTION;

D O I：

10.1142/S0218127417502248

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we mainly focus on the unique normal form for a class of three-dimensional vector fields via the method of transformation with parameters. A general explicit recursive formula is derived to compute the higher order normal form and the associated coefficients, which can be achieved easily by symbolic calculations. To illustrate the efficiency of the approach, a comparison of our result with others is also presented.

引用

页数：16

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