Global Analyses of a Class of Cubic Systems

作     者：Li Jinming Cai Suilin (Department of Applied Mathematics,Zhejiang University,Hangzhou 310027,China) 

作者机构：Department of Applied Mathematics Zhejiang University 310027 Hangzhou China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：1997年第13卷第2期

页      面：207-220页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Supported by the National Natural Science Foundation of China No.19371069 

主　　题：Phase-portrait Limit cycle Cubic systems 

摘      要：In this paper,we use the canonical forms of homogeneous polynomials of degree 3 to study the global properties of cubic systems =x+P3（x,y）,=y+Q3（x,y）（0.1） where P3 and Q3 are homogeneous polynomials of degree 3 in x,*** this work,we draw an overall outline of such systems.