平面系统极限环分支的某些问题  

Some Problems of Limit Cycle Bifurcations in Planar Systems

作　　者：罗定军[1] 

机构地区：[1]南京师范大学,南京市210097

出　　处：《常熟高专学报》1999年第2期1-5,共5页Journal of Changshu College

摘　　要：本文讨论了平面系统的极限环分支问题．具体分析了Hopf分支，奇团轨分支，高重环分支和Poincare分支以及它们的相互联系．指出可从轻易分析的Hopf分支来导出较难分析的Poincare分支．作为应用，对平面二次系统的Poincar金分支给出了完整的结论．This paper deals with the limit cycle problems of planar systerns. The Hopf bifurcation, singular closed orbit bifurcation, multiple limit cycle bifurcation, Poincare bifurcation and their relationships are considered. PaLrticularly, it is concluded that the Poincare bifucation can be obtained frOTn Hop bifurcations. As an application, all the Poincare bifurcations aLre given fOr planar quadratic systems.

关 键 词：平面系统 极限环 分支 HOPF分支 奇闭轨分支 

分 类 号：O175.12[理学—数学]