摘要
研究一类平面2n+1次多项式微分系统的极限环问题,利用Hopf分枝理论得到了该系统极限环存在性与稳定性的若干充分条件,利用Cherkas和Zheilevych的唯一性定理得到了极限环唯一性的若干充分条件.
The limit cycle problem for a class of planar polynomial differential system is studied. By using the theory of Hopf bifurcation, some sufficient conditions for the existence and stability of limit cycles of such systems are obtained. Furthermore, by applying Cherkas and Zheilevych＇s theorem about uniqueness, some sufficient conditions for the uniqueness of limit cycles of such systems are established.
出处
《高校应用数学学报（A辑）》
CSCD
北大核心
2007年第4期455-461,共7页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
基金
国家自然科学基金(10371034)
博士点基金(20050532023)
关键词
多项式系统
极限环
存在性
唯一性
polynomial system
limit cycle
existence
uniqueness
