COMPLETE CLASSIFICATION OF EQUILIBRIA AND THEIR STABILITY IN A DELAYED NEURON NETWORK
Yuming Chen, JIANHONG WU · International Journal of Bifurcation and Chaos · 2008
We consider the following system of delay differential equations [Formula: see text] where i (mod 3), and S(x) is the hyperbolic tangent function. The system models the evolution of a network of three identical neurons with delayed feedback. We provide a full classification of all equilibria and their stability in the (α,τ)-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.