Movement, cognition and perception arise from the collective activity of neurons within
cortical circuits and across large-scale systems of the brain. While the causes of single …

For several years it has been argued that neural synchronisation is crucial for cognition. The
idea that synchronised temporal patterns between different neural groups carries …

Recurrently coupled networks of inhibitory neurons robustly generate oscillations in the
gamma band. Nonetheless, the corresponding Wilson-Cowan type firing rate equation for …

Experimental and theoretical studies demonstrate that neuronal gamma oscillations crucially
depend on interneurons, but current models do not consider the diversity of known …

Neural mass models provide a useful framework for modelling mesoscopic neural dynamics
and in this article we consider the Jansen and Rit neural mass model (JR-NMM). We …

We consider finite and infinite all-to-all coupled networks of identical theta neurons. Two
types of synaptic interactions are investigated: instantaneous and delayed (via first-order …

The Ott-Antonsen (OA) ansatz [Ott and Antonsen, Chaos 18, 037113 (2008); Chaos 19,
023117 (2009)] has been widely used to describe large systems of coupled phase …

Decreased coherence in electroencephalogram (EEG) has been reported in Alzheimer's
disease (AD) experimentally, which could be considered as a typical electrophysiological …

We consider three different two-dimensional networks of nonlocally coupled heterogeneous
phase oscillators. These networks were previously studied with identical oscillators, and a …

Networks of periodically firing neurons can be modelled as networks of coupled phase
oscillators, each oscillator being described by a single angular variable. Networks of two …