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 …

Network science has evolved into an indispensable platform for studying complex systems.
But recent research has identified limits of classical networks, where links connect pairs of …

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 …

Synchronization in a network of connected elements is essential to the proper functioning of
both natural and engineered systems and is thus of increasing interest across disciplines. In …

Simplicial complexes are mathematical constructions that describe higher-order interactions
within the interconnecting elements of a network. Such higher-order interactions become …

Extreme events gain the attention of researchers due to their utmost importance in various
contexts ranging from climate to brain. An observable that deviates significantly from its long …

When a large number of similar entities interact among each other and with their
environment at a low scale, unexpected outcomes at higher spatio-temporal scales might …

Swarmalators are entities with the simultaneous presence of swarming and synchronization
that reveal emergent collective behavior due to the fascinating bidirectional interplay …

ABSTRACT A potential issue of interest is figuring out how the combination of temporal and
higher-order interactions influences the collective dynamics of the brain, specifically …

Most complex systems are nonlinear, relying on emergent behavior resulting from many
interacting subsystems, which are often characterized by oscillatory dynamics. Having …