Researchers use networks to model the dynamics of coupled systems ranging from food webs to neurological processes. Those models originally focused on pairwise interactions, or behaviors that emerge ...

In the dynamics of network framework, the dynamics take place on the nodes, as depicted in the Figure by the variables u and v, while the interactions between the dynamical units are modeled via the ...

Research proposes a novel 'higher-order' Kuramoto model that combines topology with dynamical systems and characterizes synchronization in higher-order networks for the first time. Like an orchestra ...

Abstract. We generalize the fundamental graph-theoretic notion of chordality for higher dimensional simplicial complexes by putting it into a proper context within homology theory. We generalize some ...

This is a preview. Log in through your library . Abstract Abstract. For random graphs, the containment problem considers the probability that a binomial random graph G(n, p) contains a given graph as ...

A new article shows how the choice of network representation can influence the observed effects. Their work focuses on the phenomenon of synchronization, which emerges in systems from circadian clocks ...