ICNPAA, ICNPAA WORLD CONGRESS 2020

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A Time-Delayed System of Identical Theta Neurons
Lavinia Florina Rodica Birdac

Last modified: 2023-05-18

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