422 citations · 2.4k across the 156 of their papers we have counts for
16 papers · 1 filter
Fractional Dissipative PDEs
Franz Achleitner, Goro Akagi, Christian Kuehn +4
In this chapter we provide an introduction to fractional dissipative partial differential equations (PDEs) with a focus on trying to understand their dynamics. The class of PDEs we…
Global stability for McKean-Vlasov equations on large networks
Christian Kuehn, Tobias Wöhrer
We investigate the mean-field dynamics of stochastic McKean differential equations with heterogeneous particle interactions described by large network structures. To express a wide…
On network dynamical systems with a nilpotent singularity
Hildeberto Jardón-Kojakhmetov, Christian Kuehn
Network dynamics is nowadays of extreme relevance to model and analyze complex systems. From a dynamical systems perspective, understanding the local behavior near equilibria is of…
Embedding Capabilities of Neural ODEs
Christian Kuehn, Sara-Viola Kuntz
A class of neural networks that gained particular interest in the last years are neural ordinary differential equations (neural ODEs). We study input-output relations of neural ODE…
Extending Discrete Geometric Singular Perturbation Theory to Non-Hyperbolic Points
Samuel Jelbart, Christian Kuehn
We extend the recently developed discrete geometric singular perturbation theory to the non-normally hyperbolic regime. Our primary tool is the Takens embedding theorem, which prov…
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…