Models of coupled oscillator networks play an important role in describing collective
synchronization dynamics in biological and technological systems. The Kuramoto model …

In his classical work, Kuramoto analytically described the onset of synchronization in all-to-
all coupled networks of phase oscillators with random intrinsic frequencies. Specifically, he …

In his classical work on synchronization, Kuramoto derived the formula for the critical value
of the coupling strength corresponding to the transition to synchrony in large ensembles of …

Synchronization of coupled oscillators is a ubiquitous phenomenon, occurring in topics
ranging from biology and physics to social networks and technology. A fundamental and …

We study the Kuramoto model on complex networks, in which natural frequencies of phase
oscillators and the vertex degrees are correlated. Using the annealed network …

The relation between the structural properties of the network and its dynamics is a central
question in the analysis of dynamical networks. It is especially relevant for complex networks …

The Kuramoto model (KM) of coupled phase oscillators on scale free graphs is analyzed in
this work. The W-random graph model is used to define a convergent family of sparse …

We study the synchronization properties of the Kuramoto model of coupled phase oscillators
on a general network. Here we distinguish the ability of such a system to self-synchronize …

Synchronization is a universal phenomenon found in many non-equilibrium systems. Much
recent interest in this area has overlapped with the study of complex networks, where a …

The Kuramoto model is a classical mathematical model in the field of nonlinear dynamical
systems that describes the evolution of coupled oscillators in a network that may reach a …