The Wilson–Cowan equations represent a landmark in the history of computational
neuroscience. Along with the insights Wilson and Cowan offered for neuroscience, they …

Weakly electric fish generate a periodic electric field as a carrier signal for active location
and communication tasks. Highly sensitive P-type receptors on their surface fire in response …

Temporally asymetric learning rules governing plastic changes in synaptic efficacy have
recently been identified in physiological studies. In these rules, the exact timing of pre-and …

A general theory of coherent behavior (''locking'') in a globally coupled ensemble of pulse-
emitting units is presented. Each unit is modeled as a dynamic threshold device with …

In the preceding chapter a number of mathematical models for spiking neurons were
introduced. Spiking neurons differ in essential aspects from the familiar computational units …

The critical brain hypothesis states that there are information processing advantages for
neuronal networks working close to the critical region of a phase transition. If this is true, we …

Abstract A Spiking Neural Network (SNN) training using SpikeProp and its variants is usually
affected by sudden rise in learning cost called surges. These surges cause diversion in the …

The dynamical evolution of a system of integrate-and-fire units with delayed excitatory
coupling is analyzed. The connectivity is arbitrary except for a normalization of the total input …

In the last decade, several models with network adaptive mechanisms (link deletion-
creation, dynamic synapses, dynamic gains) have been proposed as examples of self …

We derive and study two-dimensional generalizations of integrate-and-fire models which
can be found from a piecewise linear idealization of the FitzHugh-Nagumo or Morris-Lecar …