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Rough parameter dependence in climate models and the role of Ruelle-Pollicott resonances.


ABSTRACT: Despite the importance of uncertainties encountered in climate model simulations, the fundamental mechanisms at the origin of sensitive behavior of long-term model statistics remain unclear. Variability of turbulent flows in the atmosphere and oceans exhibits recurrent large-scale patterns. These patterns, while evolving irregularly in time, manifest characteristic frequencies across a large range of time scales, from intraseasonal through interdecadal. Based on modern spectral theory of chaotic and dissipative dynamical systems, the associated low-frequency variability may be formulated in terms of Ruelle-Pollicott (RP) resonances. RP resonances encode information on the nonlinear dynamics of the system, and an approach for estimating them--as filtered through an observable of the system-

SUBMITTER: Chekroun MD 

PROVIDER: S-EPMC3918823 | biostudies-literature | 2014 Feb

REPOSITORIES: biostudies-literature