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Numerical approximation of atmospheric-ocean models with subdivision algorithm
The Lorenz Maas-System is a coupled atmospheric-ocean model. It
contains the Maas System which models the ocean (slow variables) and
the Lorenz84 System which models the atmosphere (fast variables).
Both systems are coupled to each other. Recently this System was
used to investigate the long term behavior of climate models with
simple numerical methods (see Arnold, Imkeller and Wu
[5]). In this paper we will use the
established subdivision algorithm to visualize the attractor of this
system. Furthermore we will investigate (also with the subdivision
algorithm) some reduced versions (statistical and stochastic models)
of the Lorenz Maas-System and compare the results to the original
6-dimensional system.