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

被引:111
|
作者
Li, CG [1 ]
Chen, GR
Liao, XF
Yu, JB
机构
[1] Univ Elect Sci & Technol China, Sch Elect Engn, Inst Elect Syst, Chengdu 610054, Peoples R China
[2] City Univ Hong Kong, Dept Elect Engn, Kowloon, Hong Kong, Peoples R China
来源
EUROPEAN PHYSICAL JOURNAL B | 2004年 / 41卷 / 03期
关键词
D O I
10.1140/epjb/e2004-00327-2
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
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.
引用
收藏
页码:337 / 343
页数:7
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