摘要
对于一类具有1∶-3共振奇点的复七次系统,给出了系统可积的充要条件,并且通过构造积分因子或形式首次积分得以证明.
For a class of complex polynomial differential systems with a p : -q resonant singular point, a method for computing generalized singular point values is introduced. For a class of complex septic systems with a 1 -3 resonant singular point,the necessary and sufficient conditions for integrability are obtained. All these conditions are verified by constructing integrating factors or formal first integrals.
出处
《东北师大学报(自然科学版)》
CAS
CSCD
北大核心
2015年第2期9-13,共5页
Journal of Northeast Normal University(Natural Science Edition)
基金
国家自然科学基金资助项目(11401285)
聊城大学实验技术研究基金资助项目(LDSY2014110)
关键词
1∶-3共振奇点
可积性
积分因子
广义奇点量
形式首次积分
l : - 3 resonant sigular point
integrability
integrating factor
generalized singular point value
formal first integral