The tools of weakly coupled phase oscillator theory have had a profound impact on the
neuroscience community, providing insight into a variety of network behaviours ranging from …

Investigating the dynamics of a network of oscillatory systems is a timely and urgent topic.
Phase synchronization has proven paradigmatic to study emergent collective behavior …

Synchronization of chaotic systems, a patently nonlinear phenomenon, has emerged as a
highly active interdisciplinary research topic at the interface of physics, biology, applied …

We investigate the stability of synchronized states in delay-coupled networks where
synchronization takes place in groups of different local dynamics or in cluster states in …

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 …

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 …

In this paper we study neural field models with delays which define a useful framework for
modeling macroscopic parts of the cortex involving several populations of neurons …

This book addresses the new models in mathematical neuroscience and artificial neural
networks, which have many similarities with the structure of the human brain and the …

A key pathology in the development of Parkinson's disease is the occurrence of persistent
beta oscillations, which are correlated with difficulty in movement initiation. We investigated …

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 …