THE UNIQUENESS OF LIMIT CYCLE AND CRITICAL POINT FOR A CLASS OF CUBIC SYSTEM

作     者：Jin Shan,Lu Shiping(College of Math. and Computer Science,Anhui Normal University,Wuhu 241000,Anhui) Jin Shan,Lu Shiping(College of Math. and Computer Science,Anhui Normal University,Wuhu 241000,Anhui)

出 版 物：《Annals of Differential Equations》 (微分方程年刊（英文版）)

年 卷 期：2008年第24卷第2期

页      面：157-162页

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：The National Natural Science Foundation of China (10371006) Natural Science Foundation of Anhui Province (050460103) Anhui Educational Bureau (2005kj031ZD) 

主　　题：accompany system cubic system limit cycle uniqueness 

摘      要：In this paper,we consider an accompany system concerning some class of cubic system. We then prove that the system has at most one limit cycle. Finally,we obtain the topological structure of both the critical points at infinity and the singular points lying on invariant lines.