一类十次多项式微分系统的Poincaré中心焦点问题  

On the Poincaré centerfocus problem of a class of tenth degree polynomial differential systems

作　　者：陆飞飞 谢丽娜[1] 周正新[1] LU Feifei;XIE Lina;ZHOU Zhengxin(School of Mathematical Sciences,Yangzhou University,Yangzhou 225002,China)

机构地区：[1]扬州大学数学科学学院,江苏扬州225002

出　　处：《扬州大学学报（自然科学版）》2020年第5期9-14,共6页Journal of Yangzhou University：Natural Science Edition

基　　金：国家自然科学基金资助项目(61773017,11571301);江苏省自然科学基金资助项目(BK20161327).

摘　　要：运用巧妙的计算方法和证明技巧较简洁地给出了一类十次多项式微分系统的中心条件,并证明这个中心为组合中心,同时给出了焦点量计算公式.In this paper,we obtain the center conditions of a class of tenth degree polynomial differential systems by using the clever calculation methods and techniques,and prove that the center is a composition center.From these results,we can easily give the focal quantity formula of this high order system,and their expressions are much more concise and beautiful than those obtained by computer.

关 键 词：中心焦点问题 高次系统 组合条件 组合中心 

分 类 号：O175.12[理学—数学]