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A Time-Delayed System of Identical Theta Neurons
Last modified: 2023-05-15
Abstract
We consider an infinite network of identical theta neurons, all-to-
all coupled by instantaneous synapses, modeled by a system of delay
differential equations. We determine the number of equilibria with
respect to κ and η, the characteristic parameters of the system and
discuss the stability properties of each equilibrium and the possible
bifurcations that may take place in the delayed system.
all coupled by instantaneous synapses, modeled by a system of delay
differential equations. We determine the number of equilibria with
respect to κ and η, the characteristic parameters of the system and
discuss the stability properties of each equilibrium and the possible
bifurcations that may take place in the delayed system.