| 非退化平面系统在平衡曲线附近的轨道结构 |
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| 引用本文： | 唐云,林木,李秀云.非退化平面系统在平衡曲线附近的轨道结构[J].徐州师范大学学报(自然科学版),2008,26(2):23-25. |
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| 作者姓名： | 唐云 林木 李秀云 |
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| 作者单位： | [1]清华大学数学科学系,北京100084; [2]承德民族师范专科学校,河北承德067000 |
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| 摘 要： | 讨论平面系统.x=A（x,y）y,·↑y=B（x,y）y在满足非退化条件A^2（0,0）＋B^2（0,0）≠0时,在平衡流形y=0附近轨线的拓扑结构,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： | 平衡曲线 轨道结构 |
Orbit Structure near Equilibrium Curve of Non-degenerated Planar Systems |
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| TANG Yun,LIN Mu,LI Xiu-yun.Orbit Structure near Equilibrium Curve of Non-degenerated Planar Systems[J].Journal of Xuzhou Normal University(Natural Science Edition),2008,26(2):23-25. |
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| Authors: | TANG Yun LIN Mu LI Xiu-yun |
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| Institution: | TANG Yun,LIN Mu,LI Xiu-yun(1.Department of Mathematical Sciences,Tsinghua University,Beijing,100084,China;2.Department of Mathematics,Chengde Teachers College for Nationalities,Chengde,Hebei,067000,China) |
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| Abstract: | In this paper,by studying the topological structure of the planar system =A（x,y）y,·↑y=B（x,y）y,the local classification of vector fields near the equilibrium manifold y=0 for the non-degenerated case A^2（0,0）＋B^2（0,0）≠0 is obtained. |
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| Keywords: | equilibrium curve orbit structure |
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