422 citations · 2.4k across the 156 of their papers we have counts for
17 papers · 1 filter
Numerical continuation for a fast-reaction system and its cross-diffusion limit
Christian Kuehn, Cinzia Soresina
In this paper we investigate the bifurcation structure of the triangular SKT model in the weak competition regime and of the corresponding fast-reaction system in 1D and 2D domains…
Mathematical Analysis of Nonlocal PDEs for Network Generation
Tobias Böhle, Christian Kuehn
In this paper, we study a certain class of nonlocal partial differential equations (PDEs). The equations arise from a key problem in network science, i.e., network generation from…
Controlling Canard Cycles
Hildeberto Jardon-Kojakhmetov, Christian Kuehn
Canard cycles are periodic orbits that appear as special solutions of fast-slow systems (or singularly perturbed Ordinary Differential Equations). It is well known that canard cycl…
A Random Dynamical Systems Perspective on Isochronicity for Stochastic Oscillations
Maximilian Engel, Christian Kuehn
For an attracting periodic orbit (limit cycle) of a deterministic dynamical system, one defines the isochron for each point of the orbit as the cross-section with fixed return time…
On the influence of cross-diffusion in pattern formation
Maxime Breden, Christian Kuehn, Cinzia Soresina
In this paper we consider the Shigesada-Kawasaki-Teramoto (SKT) model to account for stable inhomogeneous steady states exhibiting spatial segregation, which describe a situation o…
An adaptive voter model on simplicial complexes
Leonhard Horstmeyer, Christian Kuehn
Collective decision making processes lie at the heart of many social, political and economic challenges. The classical voter model is a well-established conceptual model to study s…