82 citations · 603 across the 15 of their papers we have counts for
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math.DS2013★ 23 cited
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…
math.DS2010★ 59 cited
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…
math.DS2001★ 31 cited
The effect of additive noise on dynamical hysteresis
Nils Berglund, Barbara Gentz
We investigate the properties of hysteresis cycles produced by a one-dimensional, periodically forced Langevin equation. We show that depending on amplitude and frequency of the fo…