422 citations · 2.4k across the 156 of their papers we have counts for
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Uncertainty Transformation via Hopf Bifurcation in Fast-Slow Systems
Christian Kuehn
Propagation of uncertainty in dynamical systems is a significant challenge. Here we focus on random multiscale ordinary differential equation models. In particular, we study Hopf b…
The Curse of Instability
Christian Kuehn
High-dimensional computational challenges are frequently explained via the curse of dimensionality, i.e., increasing the number of dimensions leads to exponentially growing computa…
Predictability of Critical Transitions
Xiaozhu Zhang, Christian Kuehn, Sarah Hallerberg
Critical transitions in multistable systems have been discussed as models for a variety of phenomena ranging from the extinctions of species to socio-economic changes and climate t…
Moment Closure - A Brief Review
Christian Kuehn
Moment closure methods appear in myriad scientific disciplines in the modelling of complex systems. The goal is to achieve a closed form of a large, usually even infinite, set of c…
A meeting point of entropy and bifurcations in cross-diffusion herding
Ansgar Jüngel, Christian Kuehn, Lara Trussardi
A cross-diffusion system modeling the information herding of individuals is analyzed in a bounded domain with no-flux boundary conditions. The variables are the species' density an…