一类二次多项式微分系统极限环的分布

On the Distribution of Limit Cycles of the Quadratic Polynomial Differential Systems

研究了二次多项式系统(E2)的极限环的相对位置关系,给出了(E2)极限环集中分布的几个新的判定准则。

The reltative position of limit cycles of the quadratic polynomial differential systems is investigated. It is shown that the system has two rough focuses N(0,1),O(0,0) and l≥0,δ(m+δ)>0, and the limit cycles of the systems can only distribute around one of them.