Lienard系统的同宿轨族与闭轨族  

THE FAMILY OF HOMOCLINIC AND CLOSED ORBIT OF THE LIENARD'S SYSTEM

作　　者：周毓荣[1] 王向荣[1] 

机构地区：[1]山东矿业学院应用数学与软件工程系

出　　处：《系统科学与数学》1996年第3期281-288,共8页Journal of Systems Science and Mathematical Sciences

摘　　要：本文讨论Ｌｉｅｎａｒｄ系统解的一些定性性质，得到了存在同宿轨族、闭轨族、双曲扇形和椭圆扇形、正负半轨有界及其与等倾线相交的充要条件或充分条件．in this paper,we discuss some qualitative behaviour of the solutions of a Lienard equation,obtain some sufficient and necessary or sufficient conditions for the existence of the family of homoclinic,closed orbits,hyperbolic and elliptic sectors,and the boundedness of positive and negative semiorbits,and the intersection with the vertical isocline.

关 键 词：同宿轨 闭轨 双曲扇形 林纳方程 存在性 

分 类 号：O175.1[理学—数学]