Complete classification and stability of equilibria in a delayed ring network

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.

Keywords

• Delay
• neural network
• equilibrium
• stability