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 …

Despite substantial recent progress, our understanding of the principles and mechanisms
underlying complex brain function and cognition remains incomplete. Network neuroscience …

It is nearly 20 years since the concept of a small-world network was first quantitatively
defined, by a combination of high clustering and short path length; and about 10 years since …

The brain is characterized by heterogeneous patterns of structural connections supporting
unparalleled feats of cognition and a wide range of behaviours. New non-invasive imaging …

Real-world networks often consist of millions of heterogenous elements that interact at
multiple timescales and length scales. The fields of statistical physics and control theory both …

Cognitive function is driven by dynamic interactions between large-scale neural circuits or
networks, enabling behaviour. However, fundamental principles constraining these dynamic …

Direct electrical stimulation can modulate the activity of brain networks for the treatment of
several neurological and neuropsychiatric disorders and for restoring lost function. However …

Controllability and observability have long been recognized as fundamental structural
properties of dynamical systems, but have recently seen renewed interest in the context of …

In many applications, the observations can be represented as a signal defined over the
vertices of a graph. The analysis of such signals requires the extension of standard signal …

Network control theory (NCT) is a simple and powerful tool for studying how network
topology informs and constrains the dynamics of a system. Compared to other structure …