422 citations · 2.4k across the 156 of their papers we have counts for
6 papers · 1 filter
Quenched Noise and Nonlinear Oscillations in Bistable Multiscale Systems
C. Kuehn
Nonlinear oscillators are a key modelling tool in many applications. The influence of annealed noise on nonlinear oscillators has been studied intensively. It can induce effects in…
Stochastic mixed-mode oscillations in a three-species predator-prey model
Susmita Sadhu, Christian Kuehn
The effect of demographic stochasticity, in the form of Gaussian white noise, in a predator-prey model with one fast and two slow variables is studied. We derive the stochastic dif…
Validity of amplitude equations for non-local non-linearities
Christian Kuehn, Sebastian Throm
Amplitude equations are used to describe the onset of instability in wide classes of partial differential equations (PDEs). One goal of the field is to determine simple universal/g…
Model Spaces of Regularity Structures for Space-Fractional SPDEs
Nils Berglund, Christian Kuehn
We study model spaces, in the sense of Hairer, for stochastic partial differential equations involving the fractional Laplacian. We prove that the fractional Laplacian is a singula…
Geometry and numerical continuation of multiscale orbits in a nonconvex variational problem
Annalisa Iuorio, Christian Kuehn, Peter Szmolyan
We investigate a singularly perturbed, non-convex variational problem arising in materials science with a combination of geometrical and numerical methods. Our starting point is a…
Generalized Play Hysteresis Operators in Limits of Fast-Slow Systems
Christian Kuehn, Christian Münch
Hysteresis operators appear in many applications such as elasto-plasticity and micromagnetics, and can be used for a wider class of systems, where rate-independent memory plays a r…