Averaging, slaving and balance dynamics in a simple atmospheric model
The paper deals with a model of large-scale atmospheric motion, with a slow and fast components representing vortical motion and (inertia-) gravity waves, respectively. The authors find adiabatic invariants that drift slowly in time. This drift is consistent with a random-walk behaviour at a speed which qualitatively scales, even for modest time scale separations. As expected, the existence of an adiabatic invariant was found numerically to correspond to an exponentially small Lyapunov exponent.
scientific article; zbMATH DE number 1514727