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The bifurcation of the equatorial periodic orbit of the planar polynomial vector fields
Zhang, XA; Chen, LS; Liang, ZJ
2001-07-01
Source PublicationACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN1000-9574
Volume17Issue:3Pages:471-480
AbstractIn 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.
KeywordPoincare map bifurcation orthogonal projection
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000170096300011
PublisherSPRINGER-VERLAG SINGAPORE PTE LTD
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/15884
Collection中国科学院数学与系统科学研究院
Affiliation1.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
Recommended Citation
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.
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