Citation
Xa. Zhang et al., The bifurcation of the equatorial periodic orbit of the planar polynomial vector fields, ACTA MATH S, 17(3), 2001, pp. 471-480
Citations number
14
Categorie Soggetti
Mathematics
Journal title
ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN journal
10009574
→ ACNP
Volume
17
Issue
3
Year of publication
2001
Pages
471 - 480
Database
ISI
SICI code
1000-9574(200107)17:3<471:TBOTEP>2.0.ZU;2-D
Abstract
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 rega
rd to the formulae.