Coupled oscillators are highly complex dynamical systems, and it is an intriguing concept to
use this oscillator dynamics for computation. The idea is not new, but is currently the subject …

Percolation and synchronization are two phase transitions that have been extensively
studied since already long ago. A classic result is that, in the vast majority of cases, these …

Synchronization occurs in many natural and technological systems, from cardiac pacemaker
cells to coupled lasers. In the synchronized state, the individual cells or lasers coordinate the …

The emergence of large-scale connectivity and synchronization are crucial to the structure,
function and failure of many complex socio-technical networks. Thus, there is great interest …

The engineering of genetic circuits with predictive functionality in living cells represents a
defining focus of the expanding field of synthetic biology. This focus was elegantly set in …

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 Kuramoto model describes a large population of coupled limit-cycle oscillators whose
natural frequencies are drawn from some prescribed distribution. If the coupling strength …

Synchronization of chaos refers to a process wherein two (or many) chaotic systems (either
equivalent or nonequivalent) adjust a given property of their motion to a common behavior …

We discuss the breakdown of spatial coherence in networks of coupled oscillators with
nonlocal interaction. By systematically analyzing the dependence of the spatiotemporal …

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 …