Hopf bifurcation and chaos in a single inertial neuron model with time delay

Hopf bifurcation and chaos in a single inertial neuron model with time delay
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DOI：
10.1140/epjb/e2004-00327-2
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发表时间：
2004-10
期刊：
The European Physical Journal B - Condensed Matter and Complex Systems
影响因子：
--
通讯作者：
Chunguang Li;Guangrong Chen;X. Liao;Juebang Yu
Chunguang Li;Guangrong Chen;X. Liao;Juebang Yu
中科院分区：
其他
文献类型：
--
作者：
Chunguang Li;Guangrong Chen;X. Liao;Juebang Yu

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本文考虑了一个带有惯性项的单神经元时滞微分方程。利用时滞泛函微分方程的规范形理论研究了系统的Hopf分支。当采用非单调激活函数时，观察到混沌行为。相位图，波形图，和功率谱，以确认混沌。
A delayed differential equation modelling a single neuron with inertial term subject to time delay is considered in this paper. Hopf bifurcation is studied by using the normal form theory of retarded functional differential equations. When adopting a nonmonotonic activation function, chaotic behavior is observed. Phase plots, waveform plots, and power spectra are presented to confirm the chaoticity.