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分数阶光敏神经元的动力学特性分析及其同步研究

杨宁宁 孟诗悦 吴朝俊

杨宁宁, 孟诗悦, 吴朝俊. 分数阶光敏神经元的动力学特性分析及其同步研究[J]. 电子与信息学报, 2024, 46(3): 1138-1146. doi: 10.11999/JEIT230283
引用本文: 杨宁宁, 孟诗悦, 吴朝俊. 分数阶光敏神经元的动力学特性分析及其同步研究[J]. 电子与信息学报, 2024, 46(3): 1138-1146. doi: 10.11999/JEIT230283
YANG Ningning, MENG Shiyue, WU Chaojun. Dynamic Characteristics of Fractional-order Photosensitive Neuron and Its Coupling Synchronization[J]. Journal of Electronics & Information Technology, 2024, 46(3): 1138-1146. doi: 10.11999/JEIT230283
Citation: YANG Ningning, MENG Shiyue, WU Chaojun. Dynamic Characteristics of Fractional-order Photosensitive Neuron and Its Coupling Synchronization[J]. Journal of Electronics & Information Technology, 2024, 46(3): 1138-1146. doi: 10.11999/JEIT230283

分数阶光敏神经元的动力学特性分析及其同步研究

doi: 10.11999/JEIT230283
基金项目: 国家自然科学基金(51507134),陕西省自然科学基础研究计划 (2021JM-449, 2018JM5068)
详细信息
    作者简介:

    杨宁宁:女,硕士生导师,研究方向为非线性系统建模及控制

    孟诗悦:女,硕士生,研究方向为神经元模型系统特性分析与同步控制

    吴朝俊:男,硕士生导师,研究方向为非线性系统建模及控制

    通讯作者:

    孟诗悦 2039412773@qq.com

  • 中图分类号: TN60

Dynamic Characteristics of Fractional-order Photosensitive Neuron and Its Coupling Synchronization

Funds: The National Natural Science Foundation of China (51507134), The Natural Science Basic Research Program of Shaanxi Province (2021JM-449, 2018JM5068)
  • 摘要: 神经元是神经系统的基本单位,神经元模型的准确性影响对其本质特征的分析和理解。该文研究了由分数阶电容和电感构成的分数阶光敏FitzHugh-Nagumo(FHN)神经元电路。利用分岔图、相轨迹图和时间序列图分析了分数阶光敏神经元模型的动力学特性。研究发现,随着分数阶阶次的降低,分数阶光敏神经元的活跃度增加。当选取不同参数时,神经元系统可以诱发不同的放电模式,如周期放电态、混沌放电态和尖峰放电态。此外,利用电突触耦合的方式连接两个分数阶光敏神经元。通过调整耦合强度,可以实现分数阶光敏神经元系统之间的相位同步和完全同步。最后,采用dSPACE验证了外部光信号对神经元兴奋性的调制作用。
  • 图  1  分数阶光敏神经元电路示意图

    图  2  q=0.99时不同分岔参数下的分岔图

    图  3  q=0.99时参数B1取不同值时的相图及时间序列图

    图  4  q=0.99时参数ω取不同值时的相图及时间序列图

    图  5  q=0.9时不同分岔参数下的分岔图

    图  7  q=0.9时参数ω取不同值时的相图及时间序列图

    图  8  系统随阶次q变化的分岔图

    图  9  光敏神经元不同阶次对初值的同步

    图  10  基于dSPACE的工作实验平台

    图  11  q=0.99时参数B1取不同值时的相图及时间序列图

    图  12  q=0.9时参数B1取不同值时的相图及时间序列图

    图  13  q=0.99时参数ω取不同值时的相图及时间序列图

    图  14  q=0.9时参数ω取不同值时的相图及时间序列图

    图  15  光敏神经元不同阶次对初值的同步

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出版历程
  • 收稿日期:  2023-04-17
  • 修回日期:  2023-08-02
  • 录用日期:  2023-08-15
  • 网络出版日期:  2023-08-22
  • 刊出日期:  2024-03-27

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