Stability switches in a Cohen-Grossberg neural network with multi-delays

被引：5
作者：
Duan, Wenying [1 ]
机构：
[1] Northeast Forestry Univ, Dept Math, Harbin 150040, Peoples R China
来源：
INTERNATIONAL JOURNAL OF BIOMATHEMATICS | 2017年 / 10卷 / 05期
关键词：
Cohen-Grossberg neural networks; delays; stability switches; GLOBAL ASYMPTOTIC STABILITY; TIME-VARYING DELAYS; EXPONENTIAL STABILITY; ACTIVATION FUNCTIONS; DISTRIBUTED DELAYS; HOPF-BIFURCATION; GENERAL-CLASS; MULTISTABILITY; DISCRETE; OSCILLATORS;
D O I：
10.1142/S1793524517500759
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, we consider a Cohen-Grossberg neural network with three delays. Regarding time delays as a parameter, we investigate the effect of time delays on its dynamics. We show that there exist stability switches for time delays under certain conditions and the conditions for the existence of periodic oscillations are given by discussing the associated characteristic equation. Numerical simulations are given to illustrate the obtained results and interesting network behaviors are observed, such as multiple stability switches of the network equilibrium and synchronous (asynchronous) oscillations.
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页数：15
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