41 citations · 41 across the 1 of their papers we have counts for
12 papers
On the noise-induced passage through an unstable periodic orbit I: Two-level model
Nils Berglund, Barbara Gentz
We consider the problem of stochastic exit from a planar domain, whose boundary is an unstable periodic orbit, and which contains a stable periodic orbit. This problem arises when…
Perturbation theory of dynamical systems
Nils Berglund
This text is a slightly edited version of lecture notes for a course I gave at ETH, during the Summer term 2001, to undergraduate Mathematics and Physics students. It covers a few…
Geometrical theory of dynamical systems
Nils Berglund
This text is a slightly edited version of lecture notes for a course I gave at ETH, during the Winter term 2000-2001, to undergraduate Mathematics and Physics students. Contents: C…
Metastability in simple climate models: Pathwise analysis of slowly driven Langevin equations
Nils Berglund, Barbara Gentz
We consider simple stochastic climate models, described by slowly time-dependent Langevin equations. We show that when the noise intensity is not too large, these systems can spend…
Beyond the Fokker-Planck equation: Pathwise control of noisy bistable systems
Nils Berglund, Barbara Gentz
We introduce a new method, allowing to describe slowly time-dependent Langevin equations through the behaviour of individual paths. This approach yields considerably more informati…
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…