Nature is a blossoming of regular structures, signature of self-organization of the underlying
microscopic interacting agents. Turing theory of pattern formation is one of the most studied …

A key challenge of nonlinear dynamics and network science is to understand how higher-
order interactions influence collective dynamics. Although many studies have approached …

Synchronization is a fundamental dynamical state of interacting oscillators, observed in
natural biological rhythms and in the brain. Global synchronization which occurs when non …

Understanding and controlling the mechanisms behind synchronization phenomena is of
paramount importance in nonlinear science. In particular, chimera states, patterns in which …

We study a three-oscillator system with pairwise (1-simplex) and triadic (2-simplex)
interactions, and focus on how the interplay between these two types of interactions …

We study the asymptotic dynamics of the high-dimensional Kuramoto oscillators on the unit
sphere with two-and three-body interactions that trigger competition between synchrony and …

Synchronization is an important phenomenon in a wide variety of systems comprising
interacting oscillatory units, whether natural (like neurons, biochemical reactions, and …

Higher order interactions can lead to new equilibrium states and bifurcations in systems of
coupled oscillators described by the Kuramoto model. However, even in the simplest case of …