| 一类对称的Kolmogorov系统的定性研究(Ⅱ) |
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| 引用本文： | 李梧生. 一类对称的Kolmogorov系统的定性研究(Ⅱ)[J]. 汕头大学学报(自然科学版), 1995, 10(2): 16-22 |
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| 作者姓名： | 李梧生 |
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| 作者单位： | 汕头大学数学系 |
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| 摘 要： | 本文探讨一类对称的Ｋｏｌｍｏｇｏｒｏｖ型三次系统（Ｋ３），对每个奇点导出表示其鞍结性的型号公式，用系数不等式作完整分类，按奇点不同布列给出积分曲线的不同拓扑结构，并画出所有的１３种全局相图．
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| 关 键 词： | Kolmogorov系统；三次微分系统；微分方程定性论 |
Qualitative research of a symmetric Kolmogorov system (Ⅱ) |
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| Li Wusheng. Qualitative research of a symmetric Kolmogorov system (Ⅱ)[J]. Journal of Shantou University(Natural Science Edition), 1995, 10(2): 16-22 |
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| Authors: | Li Wusheng |
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| Abstract: | in this paper we study a symmetric cubic differential system (K3) For every saddle or node, a typal formula that expresses its saddle/node property is derived. An overall classification is obtaind with the help of coefficient inequality. All in all, thirteendifferent topological structures for the integral curves (K3) have been worked out on the basis of the distribution of saddles and nodes. |
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| Keywords: | Kolmogorov system cubic differential system qualitative theory of oridinary differential equations |
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