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

We consider a generalization of the Kuramoto model in which the oscillators are coupled to
the mean field with random signs. Oscillators with positive coupling are “conformists”; they …

Large populations of interacting active elements, periodic or chaotic, can undergo
spontaneous transitions to dynamically ordered states. These collective states are …

We consider a variant of the Kuramoto model in which all the oscillators are now assumed to
have the same natural frequency, but some of them are negatively coupled to the mean field …

Randomly coupled phase oscillators may synchronize into disordered patterns of collective
motion. We analyze this transition in a large, fully connected Kuramoto model with symmetric …

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 …

We consider a variant of the Kuramoto model of coupled oscillators in which both attractive
and repulsive pairwise interactions are allowed. The sign of the coupling is assumed to be a …

We introduce and study systems of randomly coupled maps where the relevant parameter is
the degree of connectivity in the system. Global (almost-) synchronized states are found …

In a system of heterogeneous (Abelian) Kuramoto oscillators with random or'frustrated'
interactions, transitions from states of incoherence to partial synchronization were observed …

Large networks of coupled oscillators appear in many branches of science, so that the kinds
of phenomena they exhibit are not only of intrinsic interest but also of very wide importance …