Global topological properties of homogeneous vector fields in R-3

CSpace

	Global topological properties of homogeneous vector fields in R-3
	Zhang, XA ; Chen, LS ; Liang, ZJ
	1999-04-01
发表期刊	CHINESE ANNALS OF MATHEMATICS SERIES B
ISSN	0252-9599
卷号	20 期号:2 页码:185-194
摘要	In this paper, the authors prove that the flows of homogeneous vector field Q(x) at infinity are topologically equivalent to the flows of the tangent vector field Q(T)(2L) (u is an element of S-2) On the sphere S-2, and show the theorems for the global topological classification of Q(x). They derive the necessary and sufficient conditions for the global asymptotic stability and the boundedness of vector field Q(x), and obtain the criterion for the global topological equivalence of two homogeneous vector fields.
关键词	Tangent vector field invariant cone global topological equivalence
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000080071600006
出版者	BALTZER SCI PUBL BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/14610
专题	中国科学院数学与系统科学研究院
作者单位	1.Acad Sinica, Inst Math, Beijing 100080, Peoples R China 2.Cent China Normal Univ, Dept Math, Wuhan 430079, Peoples R China
推荐引用方式 GB/T 7714	Zhang, XA,Chen, LS,Liang, ZJ. Global topological properties of homogeneous vector fields in R-3[J]. CHINESE ANNALS OF MATHEMATICS SERIES B,1999,20(2):185-194.
APA	Zhang, XA,Chen, LS,&Liang, ZJ.(1999).Global topological properties of homogeneous vector fields in R-3.CHINESE ANNALS OF MATHEMATICS SERIES B,20(2),185-194.
MLA	Zhang, XA,et al."Global topological properties of homogeneous vector fields in R-3".CHINESE ANNALS OF MATHEMATICS SERIES B 20.2(1999):185-194.