具有十个大振幅极限环的五次多项式系统

摘要

In this paper,the problem of limit cycles bifurcated from the equator for a quintic polynomial system is investigated.By using the method of singular point value,we prove that a quintic polynomial system can bifurcate ten limit cycles from the equator.%本文研究一类五次平面多项式系统赤道极限环分支问题.运用奇点量方法,首次证明了五次多项式系统可在赤道分支出十个极限环.