Synchronization in a network of connected elements is essential to the proper functioning of
both natural and engineered systems and is thus of increasing interest across disciplines. In …

The dynamical systems found in nature are rarely isolated. Instead they interact and
influence each other. The coupling functions that connect them contain detailed information …

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 …

The phenomenon of chimera states in the systems of coupled, identical oscillators has
attracted a great deal of recent theoretical and experimental interest. In such a state, different …

We propose a system for observing the correlated phase dynamics of two mesoscopic
ensembles of atoms through their collective coupling to an optical cavity. We find a …

The synchronization of two pendulum clocks hanging from a wall was first observed by
Huygens during the XVII century. This type of synchronization is observed in other areas and …

We report different types of chimera states in the Kuramoto model with inertia. They arise on
the route from coherence, via so-called solitary states, to the rotating waves. We identify the …

Chimera states are complex spatiotemporal patterns in networks of identical oscillators,
characterized by the coexistence of synchronized and desynchronized dynamics. Here we …

Chimera states in the systems of coupled identical oscillators are spatiotemporal patterns in
which different groups of oscillators can exhibit coexisting synchronous and incoherent …

In 1665, Huygens observed that two pendulum clocks hanging from the same board became
synchronized in antiphase after hundreds of swings. On the other hand, modern …