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

TL;DR

This paper reviews results on the stochastic and statistical stability of the Lorenz flow, modeling atmospheric circulation, under perturbations representing human-induced climate forcing, highlighting its robustness and sensitivity.

Contribution

It synthesizes previous findings on how anthropogenic perturbations affect the Lorenz system's stability, providing insights into climate model resilience.

Findings

Lorenz flow exhibits certain stability properties under anthropogenic perturbations

Stochastic stability results indicate robustness of atmospheric models

Statistical stability analysis reveals sensitivity to specific forcing schemes

Abstract

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.