8 papers
Vlasov Equations on Directed Hypergraph Measures
Christian Kuehn, Chuang Xu
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 v…
Polyadic Opinion Formation: The Adaptive Voter Model on a Hypergraph
Anastasia Golovin, Jan Mölter, Christian Kuehn
The adaptive voter model is widely used to model opinion dynamics in social complex networks. However, existing adaptive voter models are limited to only pairwise interactions and…
Mean field limits of co-evolutionary signed heterogeneous networks
Marios Antonios Gkogkas, Christian Kuehn, Chuang Xu
Many science phenomena are modelled as interacting particle systems (IPS) coupled on static networks. In reality, network connections are far more dynamic. Connections among indivi…
Persistent synchronization of heterogeneous networks with time-dependent linear diffusive coupling
Hildeberto Jardón-Kojakhmetov, Christian Kuehn, Iacopo P. Longo
We study synchronization for linearly coupled temporal networks of heterogeneous time-dependent nonlinear agents via the convergence of attracting trajectories of each node. The re…
Geometric analysis of fast-slow PDEs with fold singularities via Galerkin discretisation
Maximilian Engel, Felix Hummel, Christian Kuehn +3
We study a singularly perturbed fast-slow system of two partial differential equations (PDEs) of reaction-diffusion type on a bounded domain via Galerkin discretisation. We assume…
Geometric analysis of a truncated Galerkin discretization of fast-slow PDEs with transcritical singularities
Maximilian Engel, Christian Kuehn
We consider a fast-slow partial differential equation (PDE) with reaction-diffusion dynamics in the fast variable and the slow variable driven by a differential operator on a bound…