Synchronization of an ensemble of oscillators is an emergent phenomenon present in
several complex systems, ranging from social and physical to biological and technological …

Natural systems are undeniably subject to random fluctuations, arising from either
environmental variability or thermal effects. The consideration of those fluctuations supposes …

Synchronization plays a significant role in information transfer and decision-making by
neurons and brain neural networks. The development of control strategies for synchronizing …

A widely held assumption on network dynamics is that similar components are more likely to
exhibit similar behavior than dissimilar ones and that generic differences among them are …

We consider the effect of small independent local noise on a network of quadratic integrate-
and-fire neurons, globally coupled via synaptic pulses of finite width. The Fokker-Planck …

We study Kuramoto phase oscillators with temporal fluctuations in the frequencies. The
infinite-dimensional system can be reduced in a Gaussian approximation to two first-order …

We consider a system of globally coupled active rotators near the excitable regime. The
system displays a transition to a state of collective firing induced by disorder. We show that …

Circadian rhythms in mammals are controlled by the neurons located in the suprachiasmatic
nucleus of the hypothalamus. In physiological conditions, the system of neurons is very …

Spontaneous spatiotemporal wave activity occurs in groups of excitable particles for groups
larger than a critical size. Experiments are carried out with particles loaded with the catalyst …

Systems of coupled dynamical units (eg, oscillators or neurons) are known to exhibit
complex, emergent behaviors that may be simplified through coarse-graining: a process in …