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

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 …

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 …

Spike-frequency adaptation (SFA) is a fundamental neuronal mechanism taking into account
the fatigue due to spike emissions and the consequent reduction of the firing activity. We …

Recently, low-dimensional models of neuronal activity have been exactly derived for large
networks of deterministic, quadratic integrate-and-fire (QIF) neurons. Such firing rate models …

Lorentzian distributions have been largely employed in statistical mechanics to obtain exact
results for heterogeneous systems. Analytic continuation of these results is impossible even …

A synaptic theory of Working Memory (WM) has been developed in the last decade as a
possible alternative to the persistent spiking paradigm. In this context, we have developed a …

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 …

Coupling among neural rhythms is one of the most important mechanisms at the basis of
cognitive processes in the brain. In this study, we consider a neural mass model, rigorously …

Oscillations are a hallmark of neural population activity in various brain regions with a
spectrum covering a wide range of frequencies. Within this spectrum γ oscillations have …