一类时滞神经网络模型的稳定性与全局Hopf分支 |
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引用本文: | 魏章志,;王良龙. 一类时滞神经网络模型的稳定性与全局Hopf分支[J]. 生物数学学报, 2009, 0(3): 484-488 |
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作者姓名: | 魏章志, 王良龙 |
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作者单位: | [1]宿州学院应用数学系,安徽宿州234000; [2]安徽大学数学科学学院,安徽合肥230039 |
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基金项目: | 安徽省自然科学基金项目(070416225);安徽省教育厅优秀青年人才基金项目(2009SQRZ169);宿州学院自然科学基金项目(2008yzk01) |
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摘 要: | 研究了一类由两个神经元构成的时滞神经网络模型的稳定性和局部Hopf分支,并结合一般泛函微分方程的全局Hopf分支定理,利用度理论研究了全局Hopf分支的存在性.
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关 键 词: | 时滞 稳定性 Hopf分支 |
Stability and Global Hopf Bifurcation of a Neural Network Model with Delay |
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Affiliation: | WEI Zhang-zhi WANG Liang-long (1 Department of Applied Mathematics, Suzhou College, Suzhou 234000 China;2 School of Mathematics, Anhui University, Hefei Anhid 230039 China) |
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Abstract: | This paper considers the stability and local Hopf bifurcation for a neural network model with delay formed by two neurons and study the existence of the global Hopf bifurcation based on the global Hopf bifurcation theorem for general functional differential equations. |
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Keywords: | Dealy Stability Hopf bifurcation |
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