【摘要】 讨论了多项式系统dxdt=ydydt=(a1x2 -x) α -1·〔a1x2 -x +(a2 x +a5x2 +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 .更多还原

【Abstract】 The limit cycles of following polynomial system were discussed dxdt=y dydt=(a 1x 2-x) α-1 ·〔a 1x 2-x+(a 2x+a 5x 2+δ)y〕 where α is a positive odd number. We obtained some conditions of existence and uniqueness of limit cycles for the system.更多还原