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具有与两坐标轴均相切的抛物线解的Kolmogorov型三次系统(E_3~2)的轨线的拓朴结构
引用本文:宋燕.具有与两坐标轴均相切的抛物线解的Kolmogorov型三次系统(E_3~2)的轨线的拓朴结构[J].渤海大学学报(自然科学版),1997(1).
作者姓名:宋燕
作者单位:锦州师专
摘    要:本文研究具有与两坐标轴均相切的抛物线解的Kolmogorov型三次系统E的轨线的拓朴结构。我们得到该系统轨线的拓扑结构有的49种。此外,如果我们考虑这个系统的数学模型,则在这49种结构中只有2种有实际意义。

关 键 词:抛物线解,三次系统,拓扑结构

Topological structure of the trajectories of Kolmogorov cubic system E23 with parabolic solution which contact both the axes
Song Yan.Topological structure of the trajectories of Kolmogorov cubic system E23 with parabolic solution which contact both the axes[J].Journal of Bohai University:Natural Science Edition,1997(1).
Authors:Song Yan
Institution:Jinzhou Teachers' Institute .Jinzhou . 121001
Abstract:In this paper we have studied the phase portvait of th Kolmogorov cubic sys- tem E with a parabolic solution which contact both the axes. We have obtained that there are forty - nine types of the topological structure of this system. Besides , if we consider this system as a mathematical model , among these forty - nine types of the topological structure of the system , only two types have practical significance.
Keywords:: parabolic solution  cubic system  topological structure
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