We provide an analysis of the classic Kuramoto model of coupled nonlinear oscillators that
goes beyond the existing results for all-to-all networks of identical oscillators. Our work is …

Synchronization is a key concept to the under-standing of self-organization phenomena
occurring in coupled oscillators of the dissipative type. In this paper we study one of the most …

We investigate the problem of synchronization in oscillator networks when the delay
inherent in such systems is taken into account. We first investigate a general Kuramoto-type …

The Kuramoto model of coupled phase oscillators is often used to describe synchronization
phenomena in nature. Some applications, eg, quantum synchronization and rigid-body …

In this technical note we study the problem of exponential synchronization for one of the
most popular models of coupled phase oscillators, the Kuramoto model. We consider the …

We study the emergence of collective synchronization in large directed networks of
heterogeneous oscillators by generalizing the classical Kuramoto model of globally coupled …

The emergence of synchronization in a network of coupled oscillators is a fascinating
subject of multidisciplinary research. This survey reviews the vast literature on the theory …

We study a network of all-to-all interconnected phase oscillators as modeled by the
Kuramoto model. For coupling strengths larger than a critical value, we show the existence …

In this paper, we study cluster synchronization in networks of oscillators with heterogenous
Kuramoto dynamics, where multiple groups of oscillators with identical phases coexist in a …

The celebrated Kuramoto model captures various synchronization phenomena in biological
and man-made dynamical systems of coupled oscillators. It is well known that there exists a …