Some Remarks on the Limit Cycle for Systems of Lienard Type  

关于Lienard型系统之极限环的注

作　　者：王现[1] 

机构地区：[1]南京大学数学系

出　　处：《Chinese Quarterly Journal of Mathematics》1990年第1期122-130,共9页数学季刊（英文版）

摘　　要：In the present paper the concepts “the critical point system” and “the critical point-cycle system” with index +1 are introduced for the system of the form where (y) and g(x) may have several zero points.Then we show that Dragilev's Theorem,Zhang Zhi-fen's Theorem etc.,after appropriate mo- dification can be used to discuss the existence and uniqueness of limit cy- cles aroud several critical points.Finally,making use of these results,we give more complete qualitative analysis for a self-excited system with th- ree equilibrium positions,governed by-the equation

关 键 词：LIENARD型系统 极限环 非线性微分系统 奇点系 奇点-环系 闭轨线 Драгилēв定理 张芷芬定理 自激振荡系统 

分 类 号：O175.1[理学—数学] O153.3[理学—基础数学]