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 …

Gathering events, eg, going to gyms and meetings, are ubiquitous and crucial in the
spreading phenomena, which induce higher-order interactions, and thus can be described …

Higher-order networks have emerged as a powerful framework to model complex systems
and their collective behavior. Going beyond pairwise interactions, they encode structured …

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 …

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

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

Turing theory of pattern formation is among the most popular theoretical means to account
for the variety of spatio-temporal structures observed in Nature and, for this reason, finds …

Complex networks are frequently employed to model physical or virtual complex systems.
When certain entities exist across multiple systems simultaneously, unveiling their …

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 …

We investigate the dynamical evolution of Stuart-Landau oscillators globally coupled
through conjugate or dissimilar variables on simplicial complexes. We report a first-order …