82 citations · 603 across the 15 of their papers we have counts for
15 papers
From random Poincaré maps to stochastic mixed-mode-oscillation patterns
Nils Berglund, Barbara Gentz, Christian Kuehn
We quantify the effect of Gaussian white noise on fast--slow dynamical systems with one fast and two slow variables, which display mixed-mode oscillations owing to the presence of…
On the noise-induced passage through an unstable periodic orbit II: General case
Nils Berglund, Barbara Gentz
Consider a dynamical system given by a planar differential equation, which exhibits an unstable periodic orbit surrounding a stable periodic orbit. It is known that under random pe…
Sharp estimates for metastable lifetimes in parabolic SPDEs: Kramers' law and beyond
Nils Berglund, Barbara Gentz
We prove a Kramers-type law for metastable transition times for a class of one-dimensional parabolic stochastic partial differential equations (SPDEs) with bistable potential. The…
Hunting French Ducks in a Noisy Environment
Nils Berglund, Barbara Gentz, Christian Kuehn
We consider the effect of Gaussian white noise on fast-slow dynamical systems with one fast and two slow variables, containing a folded-node singularity. In the absence of noise, t…
Anomalous behavior of the Kramers rate at bifurcations in classical field theories
Nils Berglund, Barbara Gentz
We consider a Ginzburg-Landau partial differential equation in a bounded interval, perturbed by weak spatio-temporal noise. As the interval length increases, a transition between a…
The Eyring-Kramers law for potentials with nonquadratic saddles
Nils Berglund, Barbara Gentz
The Eyring-Kramers law describes the mean transition time of an overdamped Brownian particle between local minima in a potential landscape. In the weak-noise limit, the transition…