Noise effects in extended chaotic system: study on the Lorenz'96 model

TL;DR

This study examines how time-correlated noise influences the Lorenz'96 climate model, revealing stochastic resonance-like behaviors and noise-induced chaos reduction, with implications for improving climate prediction accuracy.

Contribution

It provides the first numerical evidence of stochastic resonance-like phenomena in the Lorenz'96 model under spatiotemporal noise, highlighting noise's role in chaos reduction.

Findings

Identification of stochastic resonance-like behavior in the model

Noise-induced reduction of chaos observed

Implications for optimal climate prediction discussed

Abstract

We investigate the effects of a time-correlated noise on an extended chaotic system. The chosen model is the Lorenz'96, a kind of toy model used for climate studies. The system is subjected to both temporal and spatiotemporal perturbations. Through the analysis of the system's time evolution and its time correlations, we have obtained numerical evidence for two stochastic resonance-like behaviors. Such behavior is seen when a generalized signal-to-noise ratio function are depicted as a function of the external noise intensity or as function of the system size. The underlying mechanism seems to be associated to a noise-induced chaos reduction. The possible relevance of those findings for an optimal climate prediction are discussed, using an analysis of the noise effects on the evolution of finite perturbations and errors.