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OALib Journal期刊
ISSN: 2333-9721
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Time-delay control of stability and Turing pattern structures of neural networks
时滞控制神经网络的稳定性和Turing斑图结构

Keywords: stability,Hopf bifurcation,Turing instability,reaction-diffusion,neural networks with delays
稳定性
,Hopf分岔,Turing不稳定性,反应扩散,时滞神经网络

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Abstract:

This paper discusses a class of reaction-diffusion neural networks model. The stability, bifurcation and Turing pattern are studied by using the time-delay. The theoretical analysis shows that the time-delay can affect not only the stability and periodicity, but also affects Turing instability. Numerical simulations are given to illustrate the effectiveness of the analytical results and validate the alteration of Turing pattern structures by the time-delay.

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