We review the results obtained in Gianfelice et al. (Commun Math Phys 313:745–779, 2012) and Gianfelice and Vaienti (J Stat Phys 181(1):163–211, 2020) 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 dynamic of the atmosphere.

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

Gianfelice, Michele
2022-01-01

Abstract

We review the results obtained in Gianfelice et al. (Commun Math Phys 313:745–779, 2012) and Gianfelice and Vaienti (J Stat Phys 181(1):163–211, 2020) 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 dynamic of the atmosphere.
2022
Random perturbations of dynamical systems, Classical Lorenz flow, Random dynamical systems, Semi-Markov random evolutions, Piecewise deterministic Markov processes, Lorenz’63 model, Anthropogenic forcing
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11770/341614
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