| 平面自治系统的高阶奇点 |
| |
| 引用本文： | 王五生.平面自治系统的高阶奇点[J].河池学院学报,2000(4). |
| |
| 作者姓名： | 王五生 |
| |
| 作者单位： | 河池师专数学系!广西宜州546300 |
| |
| 摘 要： | 本文首先分析了平面自治系统各种奇点邻域的轨线特征 ;接着讨论了高阶奇点邻域轨线与系统特征方程的关系。证明了系统的特征方程满足一定条件时 ,系统的奇点一定不是中心 ,系统的特征方程无实时 ,奇点可能是中心 ,最后给出奇点是中心的两个判断方法
|
| 关 键 词： | 自治系统 特征方程 轨线 中心 |
HIGHER ORDER SINGULAR POINT OF A PLANE AUTONOMOUS SYSTEM |
| |
| Wang Wusheng.HIGHER ORDER SINGULAR POINT OF A PLANE AUTONOMOUS SYSTEM[J].Journal of Hechi University,2000(4). |
| |
| Authors: | Wang Wusheng |
| |
| Abstract: | This paper first analyzes the characteristics of path curve of the singular point's neighbo(u)rhood of a plane autonomous system, and then discusses relations between the path curves and the characteristic equation. and proves that the singular point is not a center if the characteristic equation is satisfied some conditions and is probably a center if there is not real root in the characteristic equation, finally gives two judgment methods by which the singular point is judged a center. |
| |
| Keywords: | Autonomous system characteristic eqeuation path curve center |
| 本文献已被 CNKI 等数据库收录！ |
