Stochastic and statistical stability of the classical Lorenz flow under perturbations modeling anthropogenic type forcing

We review the results obtained in [GMPV] and [GV] on the stochastic and statistical stability of the classical Lorenz flow, where, looking at the Lorenz’63 ODE system as a simple - yet non trivial - model of the atmospheric circulation, the perturbation schemes introduced in these papers are designed to represent the effect of the so called anthropogenic forcing on the dynamics of the atmosphere.