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具时滞带限反馈系统双Hopf分支的存在性分析

The Existence of Double-Hopf Bifurcation in Band-limited Feedback System with Time Delay
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摘要 主要研究了具时滞带限反馈系统模型.首先对系统模型做了简单的介绍,从对系统线性化方程的特征方程根的分布分析入手,得出了系统相应的特征方程存在一对纯虚根的条件,然后又讨论了系统双Hopf分支的存在性. A mathematical model of time delay system with band-limited feedback has been studied.Firstly,the model was introduced by analyzing the distribution of the roots of the characteristic equation of the linearized nonlinear equations.The condition that the characteristic equation has a pair of purely imaginary roots was obtained,then the existence of double-Hopf bifurcation is discussed.
作者 杨纪华
机构地区 宁夏师范学院数学与计算机科学学院
出处 《宁夏师范学院学报》 2012年第6期24-28,共5页 Journal of Ningxia Normal University
基金 宁夏师范学院创新团队资助项目(zy201207)
关键词 带限反馈 时滞 双Hopf分支 Band-limited feedback Time delay Double-Hopf bifurcation
分类号 O175.13 [理学—基础数学]
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参考文献10

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二级参考文献5

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宁夏师范学院学报
2012年 第6期

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