The bifurcation of the equatorial periodic orbit of the planar polynomial vector fields
文献类型:期刊论文
作者 | Zhang, XA; Chen, LS; Liang, ZJ |
刊名 | ACTA MATHEMATICA SINICA-ENGLISH SERIES
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出版日期 | 2001-07-01 |
卷号 | 17期号:3页码:471-480 |
关键词 | Poincare map bifurcation orthogonal projection |
ISSN号 | 1000-9574 |
英文摘要 | In this paper, we have obtained the necessary and sufficient condition for the set of points at infinity on the plane R-2 to be a periodic orbit which is called an equatorial periodic orbit of a planar vector field X (x), and the formulae about the multiplicity of the equatorial periodic orbit of X (x). We have also proved-that the main result of [9] is erroneous with regard to the formulae. |
WOS研究方向 | Mathematics |
语种 | 英语 |
WOS记录号 | WOS:000170096300011 |
出版者 | SPRINGER-VERLAG SINGAPORE PTE LTD |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/15883] ![]() |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Zhang, XA |
作者单位 | 1.Cent China Normal Univ, Dept Math, Wuhan 430079, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China |
推荐引用方式 GB/T 7714 | Zhang, XA,Chen, LS,Liang, ZJ. The bifurcation of the equatorial periodic orbit of the planar polynomial vector fields[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2001,17(3):471-480. |
APA | Zhang, XA,Chen, LS,&Liang, ZJ.(2001).The bifurcation of the equatorial periodic orbit of the planar polynomial vector fields.ACTA MATHEMATICA SINICA-ENGLISH SERIES,17(3),471-480. |
MLA | Zhang, XA,et al."The bifurcation of the equatorial periodic orbit of the planar polynomial vector fields".ACTA MATHEMATICA SINICA-ENGLISH SERIES 17.3(2001):471-480. |
入库方式: OAI收割
来源:数学与系统科学研究院
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