摘要:
本文(a)对文献[1]中的定理2进行了修正,取消了假设条件V7>0;(b)对曲线M(s2,r)=0,J(s2,r)=0,L(s2,r)=0,T(s2,r)=0,s2=s以及s2=s的位置关系进行了讨论,在保证系统(1.1)具有极限环(1,3)分布的情况下,扩大了参数(s,r)的变化范围,并用图示给以清晰说明:(c)讨论了一类具有两个无限远奇点的平面二次系统极限环的(1,3)分布:(d)对系统(1.1)不论它在无限远处出现一个、两个或三个奇点,给出了出现极限环线(1,3)分布的统一处理方法.
Abstract:
In this paper,(a)we rerise Theorem 2 of Ref [1] omit the condition V7>07>0.(b)we discuss the relative positions of six curvesM(s2,r)=0,J(s2,r)=0,L(s2,r)=0,T(s2,r)=0,s2=s> and s2=s Under the condition of the(1.3)distri-butions of limit cycles,we expand the variable regions of parameters(s,r)and clearly.show them in figure,(c)we study the(1,3)distributions of limit cycles of one kind quadratic systems with two singular points at the infinite: and(d)we give a generalmethod to discuss the(1,3)distibutions`of limit cycles of system(1.1)whatever there isone,two or three singular points at the infinite.
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