一类实平面四次微分系统的奇点量和可积性  

Singular Point Quantities and Integrable properties of A Class of Real Planar Quartic Differential Systems

作　　者：强华[1] 唐永鲁 顾银鲁[1] 

机构地区：[1]银川能源学院基础部,宁夏银川750105

出　　处：《佳木斯大学学报（自然科学版）》2015年第6期848-850,共3页Journal of Jiamusi University：Natural Science Edition

基　　金：银川能源学院科研项目资助(2014-KY-Y-18)

摘　　要：研究了一类只含某些2,4次项的实平面四次微分系统,根据形式级数法并利用科学计算软件Mathematica得到该系统在原点的前3个奇点量的代数递推公式,借助不变代数曲线理论讨论了系统的可积性问题.In this paper,we study a class of real planar quartic differential systems which contains only some item 2,4 times. according to formal series method,And using scientific computing software Mathematica,The algebraic recursion formula of the first 3 singular points for this system at the origin is obtained. With the help of invariant algebraic curves theory the integrability problem for the system is discussed.

关 键 词：微分系统 奇点量 可积性条件 

分 类 号：O193[理学—数学]