3 papers
nlin.AO2025
Phase transitions for polyadic epidemic and voter models with multiscale groups
Pia Steinmeyer, Jan Mölter, Christian Kuehn
Polyadic (or higher-order) interactions can significantly impact the dynamics of interacting particle systems. However, previous studies have often assumed group sizes to be relati…
math.AP2025
Pattern formation and nonlinear waves close to a 1:1 resonant Turing and Turing--Hopf instability
Bastian Hilder, Christian Kuehn
In this paper, we analyse the dynamics of a pattern-forming system close to simultaneous Turing and Turing--Hopf instabilities, which have a 1:1 spatial resonance, that is, they ha…
math.DS2025
Stability of N-front and N-back solutions in the Barkley model
Christian Kuehn, Pascal Sedlmeier
In this paper we establish for an intermediate Reynolds number domain the stability of N-front and N-back solutions for each N > 1 corresponding to traveling waves, in an experimen…