| 平面自治系统的中心判断 |
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| 引用本文： | 王五生. 平面自治系统的中心判断[J]. 陕西师范大学学报(自然科学版), 2001, 0(Z1) |
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| 作者姓名： | 王五生 |
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| 作者单位： | 河池师范专科学校数学系 广西宜州 |
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| 摘 要： | 分析了平面自治系统各种奇点的特征 ,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根时 ,奇点可能是中心 .给出奇点是中心的两个判断方法
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| 关 键 词： | 自治系统 特征方程 轨线 中心 |
Judgment of center of a plane autonomous system |
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| WANG Wu-sheng. Judgment of center of a plane autonomous system[J]. Journal of Shaanxi Normal University: Nat Sci Ed, 2001, 0(Z1) |
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| Authors: | WANG Wu-sheng |
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| Abstract: | This paper first analyzes the characteristics of t he singular point of a plane autonomous system, and then proves that the singular point is not a center if the characteristic equation is satisfied some condition s and is probably a center if there is not real root in the characteristic equat ion, finally gives two judgment methods by which the singular point is judged a center. |
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| Keywords: | autonomous system characteristic equation path c urve center |
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