Simple General Atmospheric Circulation and Climate Models with Memory

This article examines some general atmospheric circulation and climate models in the context of the notion of "memory". Two kinds of memories are defined: statistical memory and deterministic memory. The former is defined through the autocorrelation characteristic of the process if it is random (chaotic), while for the latter, a special memory function is introduced. Three of the numerous existing models are selected as examples. For each of the models, asymptotic expressions are derived. In this way, the transients are filtered out and that which remains concerns the final behaviour of the models.