Melnik, (R.)V.N.
Mathematical hypotheses concerning the external character of perturbations are critically examined in the special case of climate system models. The importance of embedding of such models in a perturbation space with L1-structure for the analysis of error and model stability is demonstrated.
Key words: complex systems; uncertainty propagation in mathematical models; complexity of coupling; climate systems models; dynamics; atmosphere-active-layer systems; parametrization of physical processes; coupled mathematical models; small error dynamics; sensitivity to coupling procedures; topological embedding; non-reflexive topological spaces; scaling laws.