一类具有星形结点的三次微分系统的赤道闭轨线的性质  

The properties of the equatorial closed orbit for cubic differential systems with stellar node

作　　者：冯光庭[1] 张兴安[2] 

机构地区：[1]湖北第二师范学院数学与数量经济学院,武汉430205 [2]华中师范大学数学与统计学学院,武汉430079

出　　处：《华中师范大学学报（自然科学版）》2010年第2期200-203,共4页Journal of Central China Normal University：Natural Sciences

基　　金：国家自然科学基金项目(10771081)

摘　　要：利用Poincaré映射证明了一类具有星形结点的三次微分系统的赤道闭轨线只能为双曲的或二重的,并给出了其稳定性的判断方法和在赤道内扰动的性质.By using Poincar6 mapping, this paper proved that the equatorial closed orbit of cubic differential systems with stellar node can only be hyperbolic or double, and it gave the methods of how to judge the stability of the closed orbit and the corresponding disturbance properties in the equatorial neighborhood.

关 键 词：三次微分系统 Poincar6映射 赤道闭轨线 

分 类 号：O175[理学—数学]