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

Hypergraphs extend traditional graphs by allowing edges to connect multiple nodes, while
superhypergraphs further generalize this concept to represent even more complex …

Artificial Neural Networks (ANNs) are transforming how we understand chemical mixtures,
providing an expressive view of the chemical space and multiscale processes. Their …

Hypergraphs, describing networks where interactions take place among any number of
units, are a natural tool to model many real-world social and biological systems. Here, we …

Higher-order interactions shape collective dynamics, but how they affect transitions between
different states in swarmalator systems is yet to be determined. To that effect, we here study …

Recent studies have shown that novel collective behaviors emerge in complex systems due
to the presence of higher-order interactions. However, how the collective behavior of a …

Summary CompleX Group Interactions (XGI) is a library for analyzing higher-order networks.
Such networks are used to model interactions of arbitrary size between entities in a complex …

Networks incorporating higher-order interactions are increasingly recognized for their ability
to introduce novel dynamics into various processes, including synchronization. Previous …

From social to biological systems, many real-world systems are characterized by higher-
order, non-dyadic interactions. Such systems are conveniently described by hypergraphs …

Contagion processes relying on the exposure to multiple sources are prevalent in social
systems, and are effectively represented by hypergraphs. In this Letter, we derive a mean …