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	Unique Normal Form for a Class of Three-Dimensional Nilpotent Vector Fields
	Li, Jing ; Kou, Liying ; Wang, Duo
	2017
关键词	Three-dimensional nilpotent vector field unique normal form first integral linear grading function multiple Lie brackets SINGULARITIES REDUCTION PART
英文摘要	In this paper, the unique normal form for a class of three-dimensional nilpotent vector fields with symmetry is investigated. The key technique used is a combination of multiple Lie brackets, linear grading function, new notations of block matrices and first integral of the linear part of the given vector field which avoids complicated calculations. The first and the second order normal forms are computed successively, and the uniqueness of the second order normal form is proved under certain conditions.; National Natural Science Foundation of China [11372014, 11072007, 11290152, 11072008]; Beijing Natural Science Foundation [1172002, 1122001]; International Science and Technology Cooperation Program of China [2014DFR61080]; SCI(E); ARTICLE; 8; 27
语种	英语
出处	SCI
出版者	INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/462344]
专题	数学科学学院
推荐引用方式 GB/T 7714	Li, Jing,Kou, Liying,Wang, Duo. Unique Normal Form for a Class of Three-Dimensional Nilpotent Vector Fields. 2017-01-01.

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