Global topological properties of homogeneous vector fields in R-3
文献类型：期刊论文
| 作者 | Zhang, XA; Chen, LS; Liang, ZJ |
| 刊名 | CHINESE ANNALS OF MATHEMATICS SERIES B
 |
| 出版日期 | 1999-04-01 |
| 卷号 | 20期号:2页码:185-194 |
| 关键词 | Tangent vector field invariant cone global topological equivalence |
| ISSN号 | 0252-9599 |
| 英文摘要 | 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. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000080071600006 |
| 出版者 | BALTZER SCI PUBL BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/14609]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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