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

Synchronization phenomena in large populations of interacting elements are the subject of
intense research efforts in physical, biological, chemical, and social systems. A successful …

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 …

We present an approach based on Gronwall's inequalities for the asymptotic complete
phase–frequency synchronization of Kuramoto oscillators with finite inertia. For given finite …

We study collective behavior of locally coupled limit-cycle oscillators with random intrinsic
frequencies, spatially extended over d-dimensional hypercubic lattices. Phase …

We study the synchronization phenomena in a system of globally coupled oscillators with
time delay in the coupling. The self-consistency equations for the order parameter are …

The emergence of synchronization in a network of coupled oscillators is a pervasive topic in
various scientific disciplines ranging from biology, physics, and chemistry to social networks …

The entrainment transition of coupled random frequency oscillators is revisited. The
Kuramoto model (global coupling) is shown to exhibit unusual sample-dependent finite-size …

Metamaterials, ie artificial, man-made media designed to achieve properties not available in
natural materials, have been the focus of intense research during the last two decades …

We study the asymptotic complete entrainment of Kuramoto oscillators with inertia on
symmetric and connected network. We provide several sufficient conditions for the …