| THE UNIQUENESS OF LIMIT CYCLE AND THE STRUCTURE OF CRITICAL POINT AT INFINITY FOR A CLASS OF CUBIC SYSTEM |
| |
| 作者姓名： | Xie Xiangdong |
| |
| 作者单位： | Xie Xiangdong (Depi. of Math.，Ningde Teachers College，Ningde 352100) Chen Fengde (College of Math，and Computer Science，Fuzhou University，Fuzhou 350003) |
| |
| 基金项目： | This work is supported by the National Natural Science Foundation of China (Tian Yuan Foundation) (10426010)
Natural Science Foundation of Fujian Province (Z0511052)
Fujian Educational Bureau (JA04274). |
| |
| 摘 要： | A class of cubic system, which is an accompany system of a quadratic differential one, is studied. It is proved that the system has at most one limit cycle, and the critical point at infinity is a higher order one. The structure and algebraic character of the critical point at infinity are obtained.
|
| 关 键 词： | 立方体系统 有限循环 唯一性 二次微分方程 临界点 |
THE UNIQUENESS OF LIMIT CYCLE AND THE STRUCTURE OF CRITICAL POINT AT INFINITY FOR A CLASS OF CUBIC SYSTEM |
| |
| Xie Xiangdong.THE UNIQUENESS OF LIMIT CYCLE AND THE STRUCTURE OF CRITICAL POINT AT INFINITY FOR A CLASS OF CUBIC SYSTEM[J].微分方程年刊(英文版),2005,21(3):474-479. |
| |
| Authors: | Xie Xiangdong Chen Fengde |
| |
| Institution: | [1]Dept. of Math., Ningde Teachers College, Ningde 352100 [2]College of Math. and Computer Science, Fuzhou University, Fuzhou 350002 |
| |
| Abstract: | A class of cubic system, which is an accompany system of a quadratic differential one, is studied. It is proved that the system has at most one limit cycle, and the critical point at infinity is a higher order one. The structure and algebraic character of the critical point at infinity are obtained. |
| |
| Keywords: | cubic system accompany system limit cycle uniqueness |
| 本文献已被 CNKI 维普 等数据库收录！ |
