| DISTRIBUTIONS OF LIMIT CYCLES FOR POLYNOMIAL VECTOR FIELDS (P_2, Q_3) |
| |
| 作者姓名： | 肖敏 罗定军 |
| |
| 作者单位： | Dept. of Math.，Nanjing Xiao Zhuan Narmal College，Nanjing 210017，School of Math，and Computer Sciences，Nanjing Normal University，Nanjing 210097 |
| |
| 基金项目： | Supported by National Natural Science Foundations of China (No. 19871041). |
| |
| 摘 要： | The distributions of limit cycles of cubic vector fields (P2, Q3) are considered in this paper, where P2 and Q3 are polynomials of x and y of order two and three, respectively. It is possibly seven different distributions of limit cycles given in 1]. We now prove that in which three kinds of distributions are impossible and other four kinds all can be realized by concrete vector fields of (P2,Q3). Some related results are also given.
|
DISTRIBUTIONS OF LIMIT CYCLES FOR POLYNOMIAL VECTOR FIELDS (P_2, Q_3) |
| |
| Xiao Min.DISTRIBUTIONS OF LIMIT CYCLES FOR POLYNOMIAL VECTOR FIELDS (P_2, Q_3)[J].微分方程年刊(英文版),2003(1). |
| |
| Authors: | Xiao Min |
| |
| Abstract: | The distributions of limit cycles of cubic vector fields (P2, Q3) are considered in this paper, where P2 and Q3 are polynomials of x and y of order two and three, respectively. It is possibly seven different distributions of limit cycles given in 1]. We now prove that in which three kinds of distributions are impossible and other four kinds all can be realized by concrete vector fields of (P2,Q3). Some related results are also given. |
| |
| Keywords: | distribution of limit cycles bifurcation |
| 本文献已被 CNKI 等数据库收录！ |
