82 citations · 84 across the 4 of their papers we have counts for
4 papers
The dynamic saddle-node bifurcation with noise on the slow variable
Baptiste Bergeot, Nils Berglund, Israa Zogheib
In this work, we analyse the effect of adding Gaussian white noise to the slow variable of a slow--fast system passing through a saddle--node (or fold) bifurcation. This problem is…
Metastability in the stochastic nearest-neighbor Kuramoto model of coupled phase oscillators
Nils Berglund, Georgi S. Medvedev, Gideon Simpson
The Kuramoto model (KM) of coupled phase-oscillators is analyzed in this work. The KM on a Cayley graph possesses a family of steady state solutions called twisted states. Topo…
Concentration estimates for SPDEs driven by fractional Brownian motion
Nils Berglund, Alexandra Blessing
The main goal of this work is to provide sample-path estimates for the solution of slowly time-dependent SPDEs perturbed by a cylindrical fractional Brownian motion. Our strategy i…
Geometric singular perturbation theory for stochastic differential equations
Nils Berglund, Barbara Gentz
We consider slow-fast systems of differential equations, in which both the slow and fast variables are perturbed by noise. When the deterministic system admits a uniformly asymptot…