Limit cycle problem for quadratic differential system x = -y + lx^2 + mxy, y =x(1 +ax +by)
二次微分系统(x|·)=-y+lx^2+mxy,(y|·)=x(1+ax+by)的极限环问题(英文)作者机构：南京师范大学数学与计算机科学学院南京210097
出 版 物：《Journal of Southeast University(English Edition)》 (东南大学学报（英文版）)
年 卷 期：2004年第20卷第4期
页 面：517-520页
学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学]
基 金：TheNationalNaturalScienceFoundationofChina(No.19871041)
主 题：quadratic differential system limit cycle weak focus
摘 要：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):397-401) are corrected. By translating the system to be considered into the Lienard 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.
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