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Stability and bifurcation in a tri-neuron network model with discrete and distributed delays

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成果类型:
期刊论文
作者:
Zhu, Huiyan*;Huang, Lihong
通讯作者:
Zhu, Huiyan
作者机构:
[Zhu, Huiyan] Nanhua Univ, Coll Math Phys, Hengyang 421001, Hunan, Peoples R China.
Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China.
通讯机构:
[Zhu, Huiyan] N
Nanhua Univ, Coll Math Phys, Hengyang 421001, Hunan, Peoples R China.
语种:
英文
关键词:
Neural network;Delay;Stability;Hopf bifurcation
期刊:
Applied Mathematics and Computation
ISSN:
0096-3003
年:
2007
卷:
188
期:
2
页码:
1742-1756
基金类别:
Research supported by National Natural Science Foundation of China (10371034), the Doctor Program Foundation of the Ministry of Education of China (20010532002) and Foundation for University Excellent Teacher by the Ministry of Education.
机构署名:
本校为第一且通讯机构
院系归属:
数理学院
摘要:
In this paper, we consider a tri-neuron network model with discrete and distributed delays. After discussing the distributions of the roots of the characteristic equation local stability analysis of the steady-state solution leads to, we analyze the stability of network models with instantaneous feedback and neural interaction history, delayed neural feedback and no neural interaction history and delayed neural feedback and neural interaction history; we give sufficient conditions for the linear stability of the equilibrium solution; we also sh...

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