It is widely accepted that cardiac and respiratory rhythms in humans are unsynchronised.
However, a newly developed data analysis technique allows any interaction that does occur …

Chemical reactions with nonlinear kinetic behavior can give rise to a remarkable set of
spatiotemporal phenomena. These include periodic and chaotic changes in concentration …

We describe a simple yet general method to analyze networks of coupled identical nonlinear
oscillators and study applications to fast synchronization, locomotion, and schooling …

In this paper, we focus on the problem of driving a general network to a selected cluster
synchronization pattern by means of a pinning control strategy. Sufficient conditions are …

Of the many new scientific perspectives that emerged from the twentieth century, one of the
most profound is that the universe is wholly and enduringly interconnected and coherent …

The circuit equations for certain series arrays of Josephson junctions can be mapped onto a
simple model originally introduced by Kuramoto [in Proceedings of the International …

We provide an analysis of the classic Kuramoto model of coupled nonlinear oscillators that
goes beyond the existing results for all-to-all networks of identical oscillators. Our work is …

Synchronization is a common phenomenon in physical and biological systems. We examine
the synchronization of two (and more) metronomes placed on a freely moving base. The …

We present experimental and numerical investigations of the dynamics of two device-
identical, optically coupled semiconductor lasers exhibiting a delay in the coupling. Our …

Interacting chaotic oscillators are of interest in many areas of physics, biology, and
engineering. In the biological sciences, for instance, one of the challenging problems is to …