The global dynamics of a class of vector fields in a"e(3)

doi:10.1007/s10114-011-9053-7

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	The global dynamics of a class of vector fields in a"e(3)
	Zhang, Xin An 1; Liang, Zhao Jun 1; Chen, Lan Sun 2
	2011-12-01
发表期刊	ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN	1439-8516
卷号	27 期号:12 页码:2469-2480
摘要	In this paper, we find a bridge connecting a class of vector fields in a"e(3) with the planar vector fields and give a criterion of the existence of closed orbits, heteroclinic orbits and homoclinic orbits of a class of vector fields in a"e(3). All the possible nonwandering sets of this class of vector fields fall into three classes: (i) singularities; (ii) closed orbits; (iii) graphs of unions of singularities and the trajectories connecting them. The necessary and sufficient conditions for the boundedness of the vector fields are also obtained.
关键词	Tangent vector field invariant cone heteroclinic orbit vector field
DOI	10.1007/s10114-011-9053-7
语种	英语
资助项目	National Natural Science Foundation of China[10771081]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000297117900015
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/12395
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, Xin An
作者单位	1.Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China 2.Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Xin An,Liang, Zhao Jun,Chen, Lan Sun. The global dynamics of a class of vector fields in a"e(3)[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2011,27(12):2469-2480.
APA	Zhang, Xin An,Liang, Zhao Jun,&Chen, Lan Sun.(2011).The global dynamics of a class of vector fields in a"e(3).ACTA MATHEMATICA SINICA-ENGLISH SERIES,27(12),2469-2480.
MLA	Zhang, Xin An,et al."The global dynamics of a class of vector fields in a"e(3)".ACTA MATHEMATICA SINICA-ENGLISH SERIES 27.12(2011):2469-2480.