We review the use of neural field models for modelling the brain at the large scales
necessary for interpreting EEG, fMRI, MEG and optical imaging data. Albeit a framework that …

Mounting evidence suggests that during conscious states, the electrodynamics of the cortex
are poised near a critical point or phase transition and that this near-critical behavior …

Theta-nested gamma oscillations have been reported in many areas of the brain and are
believed to represent a fundamental mechanism to transfer information across spatial and …

Asymmetric dynamical systems sometimes admit a symmetric pair of coexisting attractors for
reasons that are not readily apparent. This phenomenon is called conditional symmetry and …

In this paper, we modify the Sprott M chaotic system to provide infinitely many co-existing
attractors by replacing the offset boosting parameter with a periodic function giving what we …

Over long timescales, neuronal dynamics can be robust to quite large perturbations, such as
changes in white matter connectivity and grey matter structure through processes including …

By introducing trigonometric functions in a 4-D hyperchaotic snap system, infinite 1-D, 2-D,
and 3-D lattices of hyperchaotic strange attractors were produced. Furthermore a general …

Stimulation with rhythmic light flicker (photic driving) plays an important role in the diagnosis
of schizophrenia, mood disorder, migraine, and epilepsy. In particular, the adjustment of …

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 …

Gamma oscillations are readily observed in a variety of brain regions during both waking
and sleeping states. Computational models of gamma oscillations typically involve …