All beauty, richness and harmony in the emergent dynamics of a complex system largely
depend on the specific way in which its elementary components interact. The last twenty-five …

The complexity of many biological, social and technological systems stems from the richness
of the interactions among their units. Over the past decades, a variety of complex systems …

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

Various systems in physics, biology, social sciences and engineering have been
successfully modeled as networks of coupled dynamical systems, where the links describe …

A chimera state is a spatio-temporal pattern in a network of identical coupled oscillators in
which synchronous and asynchronous oscillation coexist. This state of broken symmetry …

Many real-world complex systems consist of a set of elementary units connected by
relationships of different kinds. All such systems are better described in terms of multiplex …

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 is of central importance in power distribution, telecommunication, neuronal
and biological networks. Many networks are observed to produce patterns of synchronized …

Multilayer relationships among entities and information about entities must be accompanied
by the means to analyse, visualize and obtain insights from such data. We present open …

The dependence between pairs of time series is commonly quantified by Pearson's
correlation. However, if the time series are themselves dependent (ie exhibit temporal …