东南大学学报（英文版）2004，Vol.20Issue(4)：517-520,4.
二次微分系统(x)＝-y+lx2+mxy,(y)＝x(1+ax+by)的极限环问题
Limit cycle problem for quadratic differential system (x)＝-y+lx2+mxy,(y)＝x(1+ax+by)
摘要
Abstract
The maximal number of limit cycles for a particular type Ⅲ system (x)＝-y+lx2+mxy,(y)＝x(1+ax+by) is studied and some errors that appeared in the paper by Suo Mingxia and Yue Xiting (Annals of Differential Equations, 2003, 19(3):397401) are corrected. By translating the system to be considered into the Liénard type and by using some related properties, we obtain several theorems with suitable conditions coefficients of the system, under which we prove that the system has at most two limit cycles. The conclusions improve the results given in Suo and Yue's paper mentioned above.关键词
二次微分系统/极限环/细焦点Key words
quadratic differential system/limit cycle/weak focus分类
数理科学引用本文复制引用
陆炳新,罗定军..二次微分系统(x)＝-y+lx2+mxy,(y)＝x(1+ax+by)的极限环问题[J].东南大学学报（英文版）,2004,20(4):517-520,4.基金项目
The National Natural Science Foundation of China(No. 19871041). （No. 19871041）
