Many biological and neural systems can be seen as networks of interacting periodic
processes. Importantly, their functionality, ie, whether these networks can perform their …

The Wilson–Cowan population model of neural activity has greatly influenced our
understanding of the mechanisms for the generation of brain rhythms and the emergence of …

Electrical synapses play a major role in setting up neuronal synchronization, but the precise
mechanisms whereby these synapses contribute to synchrony are subtle and remain …

Low-dimensional neural mass models are often invoked to model the coarse-grained activity
of large populations of neurons and synapses and have been used to help understand the …

Topological signals are dynamical variables not only defined on nodes but also on links of a
network that are gaining significant attention in non-linear dynamics and topology and have …

This is a book about 'Neurodynamics'. What we mean is that this is a book about how ideas
from dynamical systems theory have been developed and employed in recent years to give …

Highlights•Generalized integrate-and-fire (GIF) models permit efficient extraction of point
neuron parameters, which reproduce the spiking behavior of multiple cell types and are …

Chemical and electrical synapses shape the dynamics of neuronal networks. Numerous
theoretical studies have investigated how each of these types of synapses contributes to the …

Mathematical modelling of the macroscopic electrical activity of the brain is highly nontrivial
and requires a detailed understanding of not only the associated mathematical techniques …

In electrophysiological recordings of the brain, the transition from high amplitude to low
amplitude signals are most likely caused by a change in the synchrony of underlying …