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

We advance a mathematical representation of Command and Control as distributed
decision makers using the Kuramoto model of networked phase oscillators. The phase …

We study the synchronization of small-world networks of identical coupled phase oscillators
through the Kuramoto interaction and uniform time delay. For a given intrinsic frequency and …

We examine analytically and numerically a variant of the stochastic Kuramoto model for
phase oscillators coupled on a general network. Two populations of phased oscillators are …

We study the Kuramoto model on several classes of network topologies examining the
dynamics under the influence of Lévy noise. Such noise exhibits heavier tails than Gaussian …

We study the effects of a probabilistic refractory period in the collective behavior of coupled
discrete-time excitable cells (SIRS-like cellular automata). Using mean-field analysis and …

We study the Kuramoto model of identical oscillators on Erdős–Rényi (ER) and Barabasi–
Alberts (BA) scale free networks examining the dynamics when perturbed by a Lévy noise …

In this work, we study the synchronization of a group of identical phase oscillators (rotors) in
the small-world (SW) networks, driven by an external random force. The dynamics of the …

There have been massive efforts devoted to understanding the collective behavior of genes.
In this regard, a wide range of studies has focused on pairwise interactions. Understanding …

We examine a model of two interacting populations of phase oscillators labeled “blue” and
“red.” To this we apply tempered stable Lévy noise, a generalization of Gaussian noise …