摘要
本文研究具有多个奇点的Lienard型系统x+x)+k(x)x)x+g(x)=0的存在唯一性,得到了此系统包围多个奇点的存在或极限环唯一的充分条件.这些条件不仅较简单和易于验证,而且推广和改进了[8,11]结果.
In this paper,we investigate the existence and uniqueness of limit cycles forLienard-type equations with multiple singular pointssome sufficient conditions for the existence and uniqueness of limit cycles arrounding themultiple singular points of this system are obtained. Those giving conditions of our results are simple and easy to check. In particular, the results in[8,11] are improved andextended.
关键词
极限环
存在性
唯一性
奇点
林纳方程
Linard equations, Limit cycles, Existence, Uniqueness, Singular Point