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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.AP2024
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…