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恒电流刺激下神经元Chay模型的Hopf分岔分析

李洪明 张素丽

太原理工大学学报2013,Vol.44Issue(1):123-126,4.
太原理工大学学报2013,Vol.44Issue(1):123-126,4.

恒电流刺激下神经元Chay模型的Hopf分岔分析

The Hopf Bifurcation Analysis of the Neuronal Chay Model under Constant Current Stimulation

李洪明 1张素丽1

作者信息

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摘要

Abstract

The Hopf bifurcation of the neuronal Chay model under constant current stimulation is analyzed. Firstly, with the help of software Matlab, the equilibrium point of the Chay model under the considered parameters was found and the stability of equilibrium point was established according to its Jacobian matrix. Secondly, the stability theory was used to study the neuronal Chay model under constant current stimulation. The results show that the the Hopf bifurcation of the Chay model occurs as the considered parameter Ⅰ varies. Finally, the software Mat-lab was employed to support the above theoretical analysis and present numeric simulations.

关键词

神经元/Chay模型/Hopf分岔

Key words

neuron/ Chay model/ Hopf bifurcation

分类

数理科学

引用本文复制引用

李洪明,张素丽..恒电流刺激下神经元Chay模型的Hopf分岔分析[J].太原理工大学学报,2013,44(1):123-126,4.

太原理工大学学报

OA北大核心CSTPCD

1007-9432

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