A numerical framework to understand transitions in high-dimensional stochastic dynamical systems

Abstract Dynamical systems methodology is a mature complementary approach to forward simulation which can be used to investigate many aspects of climate dynamics. With this paper, a review is given on the methods to analyse deterministic and stochastic climate models and show that these are not rest...

Full description

Saved in:
Bibliographic Details
Published in:Dynamics and statistics of the climate system 2016-01, Vol.1 (1)
Main Authors: Dijkstra, Henk A, Tantet, Alexis, Viebahn, Jan, Mulder, Erik, Hebbink, Mariët, Castellana, Daniele, van den Pol, Henri, Frank, Jason, Baars, Sven, Wubs, Fred, Chekroun, Mickaël, Kuehn, Christian
Format: Article
Language:English
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Abstract Dynamical systems methodology is a mature complementary approach to forward simulation which can be used to investigate many aspects of climate dynamics. With this paper, a review is given on the methods to analyse deterministic and stochastic climate models and show that these are not restricted to low-dimensional toy models, but that they can be applied to models formulated by stochastic partial differential equations. We sketch the numerical implementation of these methods and illustrate these by showing results for two canonical problems in climate dynamics.
ISSN:2059-6987
2059-6987
DOI:10.1093/climsys/dzw003