100 citations · 967 across the 43 of their papers we have counts for
Showing 2000Show all
3 papers · 1 filter
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…
nlin.CD2000★ 14 cited
The averaged dynamics of the hydrogen atom in crossed electric and magnetic fields as a perturbed Kepler problem
Nils Berglund, Turgay Uzer
We treat the classical dynamics of the hydrogen atom in perpendicular electric and magnetic fields as a celestial mechanics problem. By expressing the Hamiltonian in appropriate ac…