The paper is devoted to the review of the coherence resonance phenomenon in excitable
neural networks. In particular, we explain how coherence can be measured and how noise …

This review gives a short historical account of the excitable maps approach for modeling
neurons and neuronal networks. Some early models, due to [Pasemann, 1993],[Chialvo …

This article is part of the Physical Review Research collection titled Physics of
Neuroscience. Recurrent networks are widely used as models of biological neural circuits …

We report a transition from asynchronous to oscillatory behavior in balanced inhibitory
networks for class I and II neurons with instantaneous synapses. Collective oscillations …

Collective chaos is shown to emerge, via a period-doubling cascade, from quasiperiodic
partial synchronization in a population of identical inhibitory neurons with delayed global …

We analyze a large system of heterogeneous quadratic integrate-and-fire (QIF) neurons with
time delayed, all-to-all synaptic coupling. The model is exactly reduced to a system of firing …

The counterintuitive phenomenon of coherence resonance describes a nonmonotonic
behavior of the regularity of noise-induced oscillations in the excitable regime, leading to an …

Traditionally, astrocytes have been considered to couple via gap-junctions into a syncytium
with only rudimentary spatial organization. However, this view is challenged by growing …

Many of the well-known neuron models are continuous time systems with complex
mathematical definitions. Literatures have shown that a discrete mathematical model can …

We study the transition to synchronization in large, dense networks of chaotic circle maps,
where an exact solution of the mean-field dynamics in the infinite network and all-to-all …