Electron. J. Diff. Eqns., Vol. 2008(2008), No. 85, pp. 1-12.

Complete classification and stability of equilibria in a delayed ring network

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.

Show me the PDF file (242 KB), TEX file, and other files for this article.

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

Return to the EJDE web page