一类微分系统的极限环分布情况(英文)

The distribution of limit cycle for a class differential system

用定性分析和数值判定方法,对一类微分系统x=y,y=x(l-bx2)+(α-cx2)y(其中l>0,b>0,c≠0)的极限环分布情况进行了研究,得出该系统有3个极限环,并且给出了该系统所有极限环的分布情况.

This essay focuses on investigating the distribution of limit cycle for the differential system （x） = y, （y） = x（l - bx2） ＋ （α - cx2）y （where l ＞ 0,b ＞ 0,c ≠ 0）. By using the method of both qualitative analysis and numerical exploration, it proves that there are three limit cycles for the system and presents the distribution of limit cycle for the system.