Synchronization phenomena in large populations of interacting elements are the subject of
intense research efforts in physical, biological, chemical, and social systems. A successful …

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 …

It is shown that, in the infinite size limit, certain systems of globally coupled phase oscillators
display low dimensional dynamics. In particular, we derive an explicit finite set of nonlinear …

This article considers global exponential synchronization almost surely (GES as) for a class
of switched discrete-time neural networks (DTNNs). The considered system switches from …

In the literature, the effects of switching with average dwell time (ADT), Markovian switching,
and intermittent coupling on stability and synchronization of dynamic systems have been …

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 …

Phase reduction is a powerful technique that makes possible to describe the dynamics of a
weakly perturbed limit-cycle oscillator in terms of its phase. For ensembles of oscillators, a …

We study synchronization properties of general uncoupled limit-cycle oscillators driven by
common and independent Gaussian white noises. Using phase reduction and averaging …

Healthy brain function depends on balancing stable integration between brain areas for
effective coordinated functioning, with coexisting segregation that allows subsystems to …

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