82 citations · 603 across the 15 of their papers we have counts for
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math.PR2000★ 23 cited
A sample-paths approach to noise-induced synchronization: Stochastic resonance in a double-well potential
Nils Berglund, Barbara Gentz
Additive white noise may significantly increase the response of bistable systems to a periodic driving signal. We consider two classes of double-well potentials, symmetric and asym…
math.PR2000★ 63 cited
Pathwise description of dynamic pitchfork bifurcations with additive noise
Nils Berglund, Barbara Gentz
The slow drift (with speed $\eps$) of a parameter through a pitchfork bifurcation point, known as the dynamic pitchfork bifurcation, is characterized by a significant delay of the…