Synchronous rhythms represent a core mechanism for sculpting temporal coordination of
neural activity in the brain-wide network. This review focuses on oscillations in the cerebral …

Neural field models of firing rate activity have had a major impact in helping to develop an
understanding of the dynamics seen in brain slice preparations. These models typically take …

Abstract Models of neural networks are developed from a biological point of view. Small
networks are analysed using techniques from dynamical systems. The behaviour of spatially …

Several neural network models in continuous time are reconsidered in the framework of a
general mean-field theory which is exact in the limit of a large and fully connected network …

We consider traveling front and pulse solutions to a system of integro-differential equations
used to describe the activity of synaptically coupled neuronal networks in a single spatial …

Golomb, David and Yael Amitai. Propagating neuronal discharges in neocortical slices:
computational and experimental study. J. Neurophysiol. 78: 1199–1211, 1997. We studied …

In this paper we show how a local inhomogeneous input can stabilize a stationary-pulse
solution in an excitatory neural network. A subsequent reduction of the input amplitude can …

In this paper we show how to construct the Evans function for traveling wave solutions of
integral neural field equations when the firing rate function is a Heaviside. This allows a …

We use averaging and homogenization theory to study the propagation of traveling
wavefronts in an inhomogeneous excitable neural medium. Motivated by the functional …

The countermanding task is a standard method for assessing cognitive/inhibitory control
over action and for investigating its neural correlates. In it, the subject plans a movement and …