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 …

Topological signals defined on nodes, links and higher dimensional simplices define the
dynamical state of a network or of a simplicial complex. As such, topological signals are …

Understanding diffusive processes in networks is a significant challenge in complexity
science. Networks possess a diffusive potential that depends on their topological …

Unraveling the emergence of collective learning in systems of coupled artificial neural
networks points to broader implications for physics, machine learning, neuroscience, and …

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 …

Swarmalators, which combine the swarming phenomenon with synchronization, have drawn
a lot of attention from researchers in recent years. Nevertheless, the majority of earlier …

Traditionally, phase oscillators on a frequency-degree correlated star network provides a
building motif for understanding explosive transitions to synchronization and the associated …

Understanding the sensitivity of a system's behavior with respect to parameter changes is
essential for many applications. This sensitivity may be desired—for instance, in the brain …

Yet often neglected, dynamical interdependencies between concomitant contagion
processes can alter their intrinsic equilibria and bifurcations. A particular case of interest for …

Nowadays, explosive synchronization is a well-documented phenomenon consisting in a
first-order transition that may coexist with classical synchronization. Typically, explosive …