Neural field models with transmission delays may be cast as abstract delay differential
equations (DDE). The theory of dual semigroups (also called sun-star calculus) provides a …

A neural field models the large scale behaviour of large groups of neurons. We extend
previous results for these models by including a diffusion term into the neural field, which …

We consider a network of two coupled neurons with delayed feedback. We show that the
connection topology of the network plays a fundamental role in classifying the rich dynamics …

We give an analytical parametrization of the curves of purely imaginary eigenvalues in the
delay-parameter plane of the linearized neural field network equations with space …

We consider a network of three identical neurons incorporating distributed and discrete
signal transmission delays. The model for such a network is a system of coupled nonlinear …

In this paper we study neural field models with delays which define a useful framework for
modeling macroscopic parts of the cortex involving several populations of neurons …

In this paper, we consider a delayed system of differential equations modeling two neurons:
one is excitatory, the other is inhibitory. We study the stability and bifurcations of the trivial …

We consider a delay differential equation modelling a network of two neurons with memory.
The situations without self-connections and two delays, and with self-connections and two …

We consider a simplified neural network model for a ring of four neurons where each neuron
receives two time delayed inputs: One from itself and another from the previous neuron …

A delay-differential equation modelling an artificial neural network with two neurons is
investigated. A linear stability analysis provides parameter values yielding asymptotic …