巢湖学院学报2015,Vol.17Issue(6):7-9,3.
一类七次系统幂零奇点的中心判定
ON THE CRITERION OF THE CENTER FOR NILPOTENT SINGULAR POINTS IN A CLASS OF SEVEN-ORDER SYSTEM
摘要
Abstract
The criterion of the center for three-order nilpotent singular points in a class of seven-order system is studied in this paper. The software, Mathematica, is used to calculate and simplify to derive the first nine quasi-Lyapunov constants of the ori-gin of this differential system. Based on this, we have further discussion and analysis to obtain the necessary and sufficient conditions which make the origin center.关键词
七次系统/幂零奇点/中心/拟Lyapunov常数Key words
seven-order system/Nilpotent singular point/center/quasi-Lyapunov constant分类
数理科学引用本文复制引用
卜珏萍,陶有田..一类七次系统幂零奇点的中心判定[J].巢湖学院学报,2015,17(6):7-9,3.基金项目
巢湖学院院级自然科学研究项目(项目编号:XLY-201401) (项目编号:XLY-201401)
巢湖学院院级自然科学研究项目(项目编号:XLY-201502) (项目编号:XLY-201502)
安徽省高校优秀青年人才支持计划重点项目(项目编号:gxyqZD2016285) (项目编号:gxyqZD2016285)