乔帅, 安新磊, 王红梅, 张薇. 磁通e−HR神经元隐藏放电与分岔行为的研究[J]. 云南大学学报(自然科学版), 2020, 42(4): 685-694. doi: 10.7540/j.ynu.20190642
引用本文: 乔帅, 安新磊, 王红梅, 张薇. 磁通e−HR神经元隐藏放电与分岔行为的研究[J]. 云南大学学报(自然科学版), 2020, 42(4): 685-694. doi: 10.7540/j.ynu.20190642
QIAO Shuai, AN Xin-lei, WANG Hong-mei, ZHANG Wei. Hidden discharge and bifurcation behavior of magnetic flux e−HR neurons[J]. Journal of Yunnan University: Natural Sciences Edition, 2020, 42(4): 685-694. DOI: 10.7540/j.ynu.20190642
Citation: QIAO Shuai, AN Xin-lei, WANG Hong-mei, ZHANG Wei. Hidden discharge and bifurcation behavior of magnetic flux e−HR neurons[J]. Journal of Yunnan University: Natural Sciences Edition, 2020, 42(4): 685-694. DOI: 10.7540/j.ynu.20190642

磁通e−HR神经元隐藏放电与分岔行为的研究

Hidden discharge and bifurcation behavior of magnetic flux e−HR neurons

  • 摘要: 考虑电磁辐射对神经元放电活动的影响有着重要的现实意义. 通过引入磁通变量来描述外界电磁辐射对膜电位的作用,建立了磁通e−HR神经元模型,并详细探讨该系统的放电特征和分岔模式. 基于Matcont软件编程仿真的方法,研究了磁通e−HR神经元模型的Hopf分岔行为和共存放电区间,并发现该系统具有隐藏放电行为. 此外,通过分析双参数平面上分岔行为,发现该系统存在倍周期、逆倍周期、伴有混沌加周期和无混沌加周期等分岔模式. 从而为深入了解磁通神经元隐藏放电的产生和分岔行为提供了有益的探讨.

     

    Abstract: It is of great practical significance to consider the effect of electromagnetic radiation on neuron firing activity. In this paper, magnetic flux variable is introduced to describe the effect of external electromagnetic radiation on membrane potential, the magnetic flux e−HR neuron model is established, and the discharge characteristics and bifurcation modes of the system are discussed in detail. Based on the method of Matcont software programming simulation, the Hopf bifurcation behavior and coexisting discharge interval of the magnetic flux e−HR neuron model were studied, and it was found that the system had hidden discharge behavior.In addition, by analyzing bifurcation behavior on the two−parameter plane, it has been found that the system has bifurcation modes such as doubling period, inverse doubling period, with chaos plus period and without chaos plus period. Therefore, it provides a useful discussion for further understanding of the generation and bifurcation behavior of hidden discharge in magnetic flux neurons.

     

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