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.

Author notes

Corresponding Author: Henk A. Dijkstra Institute for Marine and Atmospheric Research Utrecht Department of Physics and Astronomy, Utrecht University Princetonplein 5, 3584 CC Utrecht Phone: +31 - 30 - 2535441; Fax: +31 - 30 - 2543163, Email: h.a.dijkstra@uu.nl
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