The Quadratic System Having a Parabola as Its Integral Curve Has at Most One Limit Cycle

被引:0
|
作者
谢向东
蔡燧林
机构
[1] Zhejiang University
[2] Ningde Teachers’ College
[3] PRC
[4] Ningde 352100
[5] Hangzhou 310027
基金
中国国家自然科学基金;
关键词
quadratic system; integral curve; limit cycle;
D O I
暂无
中图分类号
O175 [微分方程、积分方程];
学科分类号
070104 ;
摘要
In this note, we prove that the quadratic system having a parabola as its integralcurve has at most one limit cycle, and therefore the quadratic system havingquadratic curve as its integral curve has at most one limjt cycle. Considering Ref.[1], we have solved completely the problem of the bifurcations of limit cycle forsystem (1).
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页码:265 / 267
页数:3
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