Synchronization of an ensemble of oscillators is an emergent phenomenon present in
several complex systems, ranging from social and physical to biological and technological …

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 …

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 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 …

We study optimal synchronization in networks of heterogeneous phase oscillators. Our main
result is the derivation of a synchrony alignment function that encodes the interplay between …

Spontaneous explosive emergent behavior takes place in heterogeneous networks when
the frequencies of the nodes are positively correlated to the node degree. A central feature …

Employing the Kuramoto model as an illustrative example, we show how the use of the
mean-field approximation can be applied to large networks of phase oscillators with …

Chemical oscillators with a broad frequency distribution are photochemically coupled in
network topologies. Experiments and simulations show that the network synchronization …

We study explosive synchronization, a phenomenon characterized by first-order phase
transitions between incoherent and synchronized states in networks of coupled oscillators …

Spontaneous explosive is an abrupt transition to collective behavior taking place in
heterogeneous networks when the frequencies of the nodes are positively correlated with …