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

Explosive collective phenomena have attracted much attention since the discovery of an
explosive percolation transition. In this Letter, we demonstrate how an explosive transition …

The internal organization of complex networks often has striking consequences on either
their response to external perturbations or on their dynamical properties. In addition to small …

The emergence of dynamical abrupt transitions in the macroscopic state of a system is
currently a subject of the utmost interest. Given a set of phase oscillators networking with a …

Critical phenomena in complex networks, and the emergence of dynamical abrupt
transitions in the macroscopic state of the system are currently a subject of the outmost …

The emergence of large-scale connectivity on an underlying network or lattice, the so-called
percolation transition, has a profound impact on the system's macroscopic behaviours …

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 …

In the last two decades, network science has blossomed and influenced various fields, such
as statistical physics, computer science, biology and sociology, from the perspective of the …

From transportation networks to complex infrastructures, and to social and communication
networks, a large variety of systems can be described in terms of multiplexes formed by a set …