CSpace
The global dynamics of a class of vector fields in a"e(3)
Zhang, Xin An1; Liang, Zhao Jun1; Chen, Lan Sun2
2011-12-01
发表期刊ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN1439-8516
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
DOI10.1007/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
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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.
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