In this paper, we discuss recent progress in research of ensembles of mean field coupled
oscillators. Without an ambition to present a comprehensive review, we outline most …

We present a framework for analysing arbitrary networks of identical dissipative oscillators
assuming weak coupling. Using the symmetry of the network, we find dynamically invariant …

A model for synchronization of globally coupled phase oscillators including “inertial” effects
is analyzed. In such a model, both oscillator frequencies and phases evolve in time …

We propose a technique to control coherent collective oscillations in ensembles of globally
coupled units (self-sustained oscillators or maps). We demonstrate numerically and …

We consider the interaction of a large number of limit-cycle oscillators with linear, all-to-all
coupling and a distribution of natural frequencies. The system exhibits extremely rich …

We analyze a large system of nonlinear phase oscillators with sinusoidal nonlinearity,
uniformly distributed natural frequencies and global all-to-all coupling, which is an extension …

Practically any physical, chemical, or biological system can exhibit rhythmic oscillatory
activity, at least when the conditions are right. Winfree (2001) reviews the ubiquity of …

Investigating the dynamics of a network of oscillatory systems is a timely and urgent topic.
Phase synchronization has proven paradigmatic to study emergent collective behavior …

The emergence of synchronization in systems of coupled agents is a pivotal phenomenon in
physics, biology, computer science, and neuroscience. Traditionally, interaction systems …

In 1967 Winfree proposed a mean-field model for the spontaneous synchronization of
chorusing crickets, flashing fireflies, circadian pacemaker cells, or other large populations of …