一类平面七次多项式系统赤道环的稳定性与极限环分支  

Stability and Bifurcation of Limit Cycles of the Equator in a Class of Septic Polynomial Systems

作　　者：陈海波[1] 罗交晚[1] 

机构地区：[1]中南大学数学系,湖南长沙410075

出　　处：《应用数学》2002年第2期22-25,共4页Mathematica Applicata

摘　　要：本文研究一类平面七次多项式系统赤道环的稳定性和极限环分支 ,给出了系统的前 1 2个奇点量公式 ,可积性条件及在赤道附近存在 3个极限环的条件 。In this paper, we study the appearance of limit cycles from the equator in a class of septic polynomial vector fields with no singular points at infinity and the stability of the equator of the system. We reach an expression of the first 12 quantities of singular point of the system and give integrability condition and the condition, which allows the appearance of three limit cycles in the neighborhood of the equator.

关 键 词：多项式系统 赤道环 稳定性 可积性 极限环分支 奇点量 

分 类 号：O175.12[理学—数学]