Bifurcation Analysis of a Minimal Neuron to ELF AC Electric Field

被引：0

作者：

Yi Guo-Sheng ^{[1
]}

Wang Jiang ^{[1
]}

Han Chun-Xiao ^{[2
]}

Liu Yu-Liang ^{[2
]}

Deng Bin ^{[1
]}

Wei Xi-Le ^{[1
]}

机构：

[1] Tianjin Univ, Sch Elect & Automat Eng, Tianjin 300072, Peoples R China

[2] Tianjin Univ Technol & Educ, Sch Automat & Elect Engn, Tianjin 300222, Peoples R China

来源：

2011 30TH CHINESE CONTROL CONFERENCE (CCC) | 2011年

基金：

中国国家自然科学基金;

关键词：

Bifurcation; Neuron; External ELF field; Frequency; Firing pattern;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper investigates the bifurcation structure of a two-dimensional neuron model under external extremely low frequency (ELF) electric field. Neurons can exhibit rich dynamical states such as mode-locking and chaotic behaviors based on the two-dimensional minimal model. The bifurcation structure and the transitions between different neuronal firing patterns simulated by external electric field are explored by analyzing interspike intervals (ISIs). It is found that the frequency of the external electric field can act as a bifurcation parameter, whose small change can cause the transition of neuron behavior. There are myriads of Subcritical Hopf, inverse period-adding and period-doubling bifurcations forming the boundaries of the complex mode-locking structure.

引用

页码：594 / 598

页数：5

共 9 条

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