It is a fundamental challenge to understand how the function of a network is related to its
structural organization. Adaptive dynamical networks represent a broad class of systems that …

Over the past two decades, complex network theory provided the ideal framework for
investigating the intimate relationships between the topological properties characterizing the …

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

Traditionally, much of the study of networks has focused on structural features. Indeed,
mathematical subjects such as graph theory have a rich history of investigating network …

Transitions from incoherent to coherent dynamical states can be observed in various real-
world networks, ranging from neurons to power-grids. These transitions can be explosive or …

From critical infrastructure to physiology and the human brain, complex systems rarely occur
in isolation. Instead, the functioning of nodes in one system often promotes or suppresses …

In realistic systems of coupled oscillators, it is desired to predict the onset of synchronization
where the system equations are unknown, raising the need to develop a prediction …

The human brain is the most complicated and fascinated system and executes various
important brain functions, but its underlying mechanism is a long-standing problem. In recent …