Many science phenomena are modelled as interacting particle systems (IPS) coupled on
static networks. In reality, network connections are far more dynamic. Connections among …

Models of coupled oscillator networks play an important role in describing collective
synchronization dynamics in biological and technological systems. The Kuramoto model …

In this paper we propose a framework to investigate the mean field limit (MFL) of interacting
particle systems on directed hypergraphs. We provide a non-trivial measure-theoretic …

Many science phenomena are described as interacting particle systems (IPS). The mean
field limit (MFL) of large all-to-all coupled deterministic IPS is given by the solution of a PDE …

We study the impact of network heterogeneity on relaxation dynamics of the Kuramoto
model on uncorrelated complex networks with scale-free degree distributions. Using the Ott …

The classical Kuramoto model consists of finitely many pairwisely coupled oscillators on the
circle. In many applications a simple pairwise coupling is not sufficient to describe real-world …

Signal propagation in complex networks drives epidemics, is responsible for information
going viral, promotes trust and facilitates moral behavior in social groups, enables the …

The emergence of synchronization among a set of individual oscillators that are coupled in a
network is an amazing physical phenomenon that appears in many different systems, from …

Synchronization of coupled oscillators is a ubiquitous phenomenon, occurring in topics
ranging from biology and physics to social networks and technology. A fundamental and …

Adaptive (or co-evolutionary) network dynamics, ie, when changes of the network/graph
topology are coupled with changes in the node/vertex dynamics, can give rise to rich and …