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Stability switches in a Cohen-Grossberg neural network with multi-delays 被引量:1

Stability switches in a Cohen-Grossberg neural network with multi-delays
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摘要 In this paper, we consider a Cohen-Grossberg neural network with three delays. Regard- ing 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.
作者 Wenying Duan
出处 《International Journal of Biomathematics》 2017年第5期345-359,共15页 生物数学学报(英文版)
关键词 Cohen-Grossberg neural networks DELAYS stability switches 网络稳定性 神经网络 多时滞 开关 科恩 周期振荡 系统动力学 特征方程
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