摘要
本文研究一般平面自治系统的一些定性行为，证明了系统至多存在一个最大椭圆扇形，得到了此系统的轨线趋于奇点及存在同宿轨族的充分或必要条件与Ｙ（ｘ，ｙ）＝Ｙ（ｘ）时的充要条件．
In this paper, we discuss some qualitative behavior of the solution of autonomous planar system (E) there exists at most one maximal elliptic sector. We also obtain some sufficient or necessary conditions for the trajectories of (E) tending to the singular point and for the existence of the family of homoclincs. Some necessary and sufficient conditions for the system: are also given.
出处
《系统科学与数学》
CSCD
北大核心
2001年第1期39-47,共9页
Journal of Systems Science and Mathematical Sciences
基金
广西自然科学基金
