一类多项式系统的极限环

摘要

讨论了多项式系统dx/dt=ydy/dt=(a1x2x-x)a-1·[a1x2-x+(a2x2+δ)y]的极限环,其中α为正的奇数，得到了极限环存在与不存在的若干条件%The limit cycles of following polynomial system were discussed dx/dt=ydy/dt=(a1x2-x)a-1·[a1x2-x+(a2x+a5x2+δ)y] where a is a positive odd number. We obtained some conditions of existence and uniqueness of limit cycles for the system.