| 一类三阶时滞微分方程的稳定性及Hopf分支 |
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| 引用本文： | 刘三红. 一类三阶时滞微分方程的稳定性及Hopf分支[J]. 咸宁学院学报, 2003, 23(3): 26-28 |
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| 作者姓名： | 刘三红 |
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| 作者单位： | 咸宁学院,数学系,湖北,咸宁,437005 |
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| 摘 要： | 利用定性的方法研究了三阶线性时滞微分方程的条件稳定性,得到了三阶线性时滞微分方程条件稳定性以及出现Hopf分支的条件.
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| 关 键 词： | 时滞微分方程 特征方程 渐近稳定 Hopf分支 |
| 文章编号： | 1006-5342(2003)03-0026-03 |
| 修稿时间： | 2003-05-19 |
Stability and Hopf Bifurcation of a Class of Three-order Delay Differential Equation |
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| LIU San-hong. Stability and Hopf Bifurcation of a Class of Three-order Delay Differential Equation[J]. Journal of Xianning College, 2003, 23(3): 26-28 |
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| Authors: | LIU San-hong |
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| Abstract: | In this article,we discuss the stability of a class of three-order linear delay differential equation with a method of qualitative analysis. With the discussion, we obtain sufficient conditions of stability and the occurrence of hopf bifurcation. |
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| Keywords: | Delay differential equation Characteristic equation Asymptotic stability Hopf bifurcation |
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