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Numerical approximation of atmospheric-ocean models with subdivision algorithm

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  • 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.
    Mathematics Subject Classification: Primary: 37N10, 86-08, 86A05, 70K65, 70K70 ; Secondary:37H10, 37M05.


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