Xuwen Lu, Shangjiang Guo
Abstract:
In this paper, we consider a neural network model consisting of
four neurons with delayed self and nearest-neighbor connections. We
provide a full classification of all equilibria and their stability
in the connection weighter parameter space. Such a classification is
essential for the description of spatio-temporal patterns of the
model system and for the applications to dynamic memory storage and
retrieval.
Submitted January 25, 2008. Published June 09, 2008.
Math Subject Classifications: 34K18, 92B20.
Key Words: Delay; neural network; equilibrium; stability.
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Xuwen Lu College of Mathematics and Econometrics Hunan University, Changsha, Hunan 410082, China email: luxuwen1@163.com | |
Shangjiang Guo College of Mathematics and Econometrics Hunan University, Changsha, Hunan 410082, China email: shangjguo@hnu.cn |
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