Electronic Journal of Differential Equations,
Vol. 2008(2008), No. 85, pp. 1-12.

Title: Complete classification and stability of equilibria in a 
       delayed ring network
  
Authors: Xuwen Lu       (Hunan Univ., Changsha, China)
         Shangjiang Guo (Hunan Univ., Changsha, China)

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.