| 一类非线性动力系统的定性分析 |
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| 引用本文： | 胡军峰.一类非线性动力系统的定性分析[J].装甲兵工程学院学报,2003,17(1):87-89. |
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| 作者姓名： | 胡军峰 |
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| 作者单位： | 装甲兵工程学院基础部,北京,100072 |
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| 摘 要： | 研究2种生物种群在一段时间内是否可以相互生存,有着重要的现实意义。为了获得这方 面的有关结果,本文运用微分方程的稳定性理论,详尽地讨论了一类非线性动力系统模型平衡点的类型, 并进一步给出了该系统极限环的不存在性,从而得到系统的共存性。
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| 关 键 词： | 平衡点 稳定性 极限环 |
| 修稿时间： | 2002年9月12日 |
Qualitative Analysis of a Class of Nonlinear Dynamical System |
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| HU Jun-feng.Qualitative Analysis of a Class of Nonlinear Dynamical System[J].Journal of Armored Force Engineering Institute,2003,17(1):87-89. |
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| Authors: | HU Jun-feng |
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| Institution: | HU Jun-feng |
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| Abstract: | It is very important to study whether the 2-species can develop with each other during a long time. In order to get the relative results, in this paper, by using the stability theory of the ordinary differential equations, the author studied in detail the classification of equilibrium points for a class of nonlinear dynamical system, and proved that there is no limit cycle in this system. Thus, we can come to the conclusion of coexistence. |
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| Keywords: | equilibrium points stability limit cycle |
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