Dynamical Characteristics of the Fractional-Order FitzHugh-Nagumo Model Neuron
Through the research on the fractional-order FitzHugh-Nagumo model, it is found that the Hopf bifurcation point in such a model, where the state of the model neuron changes from the quiescence into periodic spiking, is different from that of the corresponding integer-order model when the externally applied current is considered to be the bifurcation parameter. Moreover, we demonstrate that the range of periodic spiking of the fractional-order model neuron is clearly smaller than that of the corresponding integer-order model neuron, that is, the range of periodic spiking of the former is just embedded in that of the latter. In addition, we show that the firing frequency of the fractional-order model neuron is evidently larger than that of the integer-order counterpart. The Adomian decomposition method is used to calculate fractional-order differential equations numerically due to its rapid convergence and high accuracy.
Fractional-order Hopf bifurcation FitzHugh-Nagumo model Firing frequency
Yong Liu Yong Xie Yanmei Kang Ning Tan Jun Jiang Jian-Xue Xu
MOE Key Laboratory for Strength and Vibration, School of Aerospace, Xian Jiaotong University, Xian 710049, China
国际会议
The Second International Conference on Cognitive Neurodynamics--2009(第二届国际认知神经动力学会议)
杭州
英文
253-258
2009-11-15（万方平台首次上网日期，不代表论文的发表时间）