| 具有时滞磁通神经元模型的Hopf分岔分析 |
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| 引用本文： | 于欢欢,安新磊,路正玉,王文静.具有时滞磁通神经元模型的Hopf分岔分析[J].吉林大学学报(理学版),2002,57(5):1111-1121. |
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| 作者姓名： | 于欢欢 安新磊 路正玉 王文静 |
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| 作者单位： | 兰州交通大学 数理学院, 兰州 730070 |
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| 摘 要： | 利用稳定性理论和中心流形定理等方法研究双时滞磁通神经元模型的稳定性、 Hopf分岔的存在性以及分岔方向和分岔周期解
的稳定性, 并给出部分数值模拟验证所得结论. 结果表明: 在特定时滞范围内模型存在分岔周期解; 时滞的增加可诱导尖峰放电行为.
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| 关 键 词： | Hindmarsh-Rose神经元 Hopf分岔 时滞 放电行为 |
| 收稿时间： | 2019-01-18 |
Hopf Bifurcation Analysis of Flux Neuron Model with Time Delays |
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| YU Huanhuan,AN Xinlei,LU Zhengyu,WANG Wenjing.Hopf Bifurcation Analysis of Flux Neuron Model with Time Delays[J].Journal of Jilin University: Sci Ed,2002,57(5):1111-1121. |
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| Authors: | YU Huanhuan AN Xinlei LU Zhengyu WANG Wenjing |
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| Institution: | School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou 730070, China
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| Abstract: | We studied the stability, the existence of Hopf bifurcation and the stabilitybifurcation direction and bifurcation periodic solution of the double delay flux neuron model by using stability theory,central manifold theorem and other methods, and some conclusions obtained by numerical simulation were given.The results show that the bifurcation periodic solution of the model is obtained within a certain time delay range, and the increase of time delay can induce the spike discharge behavior. |
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| Keywords: | Hindmarsh-Rose neuron Hopf bifurcation time delay discharge behavior |
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