Search
Workshop

Geometric singular perturbation theory applied to stochastic climate models

  • Nils Berglund (University of Toulon, Toulon, France)
G3 10 (Lecture hall)

Abstract

Geometric singular perturbation theory offers an efficient framework for the study of ordinary differential equations with well-separated time scales. It combines the construction of invariant manifolds, which allow a low-dimensional effective description of the dynamics reduced to slow variables, with a local analysis near bifurcation points. We present extensions of this theory to systems of slow-fast stochastic differential equations, constructing, in particular, neighbourhoods of invariant manifolds in which sample paths concentrate. This approach will be illustrated on a few simple models of the North-Atlantic Thermohaline Circulation. Joint work with Barbara Gentz (WIAS, Berlin).

Katja Bieling

Max Planck Institute for Mathematics in the Sciences, Leipzig Contact via Mail

Peter Imkeller

Humboldt Universität zu Berlin

Stefan Müller

Max Planck Institute for Mathematics in the Sciences, Leipzig