一类具有三个双同宿环的多项式李纳系统的极限环  

Limit Cycles in a Polynomial Liénard System with Three Double Homoclinic Loops

作　　者：朱红英 邹荣 李成群 ZHU Hongying;ZOU Rong;LI Chengqun(Department of Applied Mathematics,School of Information and Statistics,Guangxi University of Finance and Economics,Nanning,Guangxi,530003,P.R.China)

机构地区：[1]广西财经学院信息与统计学院应用数学系,南宁广西530003

出　　处：《数学进展》2022年第4期598-608,共11页Advances in Mathematics（China）

基　　金：Supported by NSFC(No.11761011);Natural Science Foundation of Guangxi Province(No.2020JJB110007);Middle-aged and Young Teachers’Basic Ability Promotion Project of Guangxi(No.2020KY16020)。

摘　　要：本文应用Melnikov函数方法研究了一类具有三个双同宿环的多项式李纳系统的极限环个数,得到的极限环个数多于现有文献的相关结果.This paper studies the number of limit cycles of polynomial Lienard system with three double homoclinic loops by using the Melnikov function method.The obtained limit cycles are more than the corresponding results in the existing literature.

关 键 词：李纳系统 极限环 同宿环 

分 类 号：O175.12[理学—数学]