| 二维系统平衡流形附近轨道的分类 |
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| 引用本文： | 沈明文,李秀云.二维系统平衡流形附近轨道的分类[J].唐山师范学院学报,2006,28(5):18-19,30. |
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| 作者姓名： | 沈明文 李秀云 |
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| 作者单位： | 1. 河北大学,数学计算机学院,河北,保定,071002
2. 承德民族师专,河北,承德,067000 |
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| 摘 要： | 讨论了二维平面系统：^＊x=A（x，y）J，^＊y=B（x，y）y在其平衡流形y=0上点的邻域内轨线的拓扑结构，并对平衡流形y=0上的点附近的一类向量场进行局部分类。
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| 关 键 词： | 平衡流形 分类 Z2对称 |
| 文章编号： | 1009-9115（2006）05-0018-03 |
| 收稿时间： | 05 4 2006 12:00AM |
| 修稿时间： | 2006-05-04 |
The Classification of Orbits Near Equilibrium Manifold of Two-Dimensional System |
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| SHEN Ming-wen,LI Xiu-yun.The Classification of Orbits Near Equilibrium Manifold of Two-Dimensional System[J].Journal of Tangshan Teachers College,2006,28(5):18-19,30. |
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| Authors: | SHEN Ming-wen LI Xiu-yun |
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| Institution: | 1. Postgraduate Class of Mathematic Calculation, ttebei University, Ilebei Baoding 071002. China; 2.Chengde Teachers College tbr Nationalities, Hebei Chengde 067000, China |
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| Abstract: | This paper studied the topological structure of the two-dimensional system x& =A(x,y)yand y& =B(x,y)y near the equilibrium manifold y = 0 and classified parts of vector fields. |
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| Keywords: | equilibrium manifold classification Z2 -symmetry |
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