中山大学学报（自然科学版）2018，Vol.57Issue(3)：54-59,6.DOI:10.13471/j.cnki.acta.snus.2018.03.007
复多项式微分系统的广义中心问题和可积性
Generalized center problem and integrability of complex polynomial differential system
摘要
Abstract
The generalized center problem of elementary resonant singular point for an extensive class of complex autonomous polynomial differential system in C2is studied.A new method(integrating factor method)is introduced to determine generalized center of resonant singular point for any rational resonance ratio.A recursion formula of calculating saddle point quantities is obtained and the relation of the saddle point quantity and the generalized singular point quantity is given.A gap in Doctoral thesis of Ping Xiao is fixed.关键词
共振奇点/广义中心/积分因子/广义奇点量Key words
resonant singular point/generalized center/integrating factor/generalized singular point quantity引用本文复制引用
郭珂珂,张齐..复多项式微分系统的广义中心问题和可积性[J].中山大学学报（自然科学版）,2018,57(3):54-59,6.基金项目
中南大学创新驱动计划(1053320181605) （1053320181605）
