Dimension reduction of some paleoclimate models like Saltzman and Maasch 1990
Réduction de modèle de paléoclimat : le modèle de Saltzman et Maasch 1990.
Résumé
A pleiad of paleoclimate models have been proposed in the literature in order to describe the glacial-interglacial cycles, like the models proposed by Saltzman, B. and Maasch, K. A. in 1990. In this study, we propose to reduce the dimension of some three-dimensional paleoclimate models to two, so that the reduced two-dimensional system can then be more easily investigated in-depth and also compared to other two-dimensional competitor systems. We first perform an heuristic reduction which uses the relatively planar geometry of the climatic attractor. We then propose a rigorous approach based on the singular perturbation theory, which yield already good results at low order of expansion.