Dynamic Characteristics of Fractional-order Photosensitive Neuron and Its Coupling Synchronization
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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。Abstract: Neurons are the basic unit of the nervous system, and the accuracy of neuron models affects the analysis and understanding of their essential properties. In this paper, a fractional-order photosensitive FitzHugh-Nagumo (FHN) neuron circuit constructed by fractional-order capacitor and inductor is investigated. The dynamics of the fractional-order photosensitive neuron model are analyzed using bifurcation diagrams, phase portraits, and time series diagrams. It was found that the activity of the fractional-order photosensitive neuron increased as the fractional-order decreased. When different system parameters are selected, the neuron system transitions between periodic and chaotic discharge states. The system can induce different discharge modes, such as periodic discharge states, chaotic discharge states, and spike discharge states. In addition, two fractional-order photosensitive neurons were connected using electrical synaptic coupling. Phase synchronization and complete synchronization between the fractional-order photosensitive neuron systems can be achieved by adjusting the coupling strength. Finally, the modulation effect of an external light signal on neuronal excitability was verified by dSPACE.
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Key words:
- Neurons /
- Photosensitive neuron /
- Fractional calculus /
- Synchronization
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