一类高次Λ-Ω微分系统的弱中心  

Research on the weak center for a class of high orderΛ-Ωdifferential systems

作　　者：蒋新雅 周正新[1] JIANG Xinya;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）》2021年第6期13-16,38,共5页Journal of Yangzhou University：Natural Science Edition

基　　金：国家自然科学基金资助项目(62173292,12171418).

摘　　要：运用Poincaré方法及独特的变换技巧,研究一类高次Λ-Ω微分系统的弱中心问题,给出了这类系统以原点为中心的充要条件,解决了该高次微分系统的Poincaré中心-焦点问题.In this paper,the weak center problem of a class of higher orderΛ-Ωdifferential systems is studied by using the Poincarémethod and unique transformation techniques.The necessary and sufficient conditions for these systems to have a center at the origin point are obtained.The Poincarécenter-focus problem of this kind of higher order systems is completely solved.

关 键 词：Λ-Ω微分系统 弱中心 复合中心 中心条件 

分 类 号：O175.12[理学—数学]