%0 Journal Article %T Complete classification and stability of equilibria in a delayed ring network %A Xuwen Lu %A Shangjiang Guo %J Electronic Journal of Differential Equations %D 2008 %I Texas State University %X 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. %K Delay %K neural network %K equilibrium %K stability %U http://ejde.math.txstate.edu/Volumes/2008/85/abstr.html