Rough parameter dependence in climate models and the role of Ruelle-Pollicott resonances
نویسندگان
چکیده
منابع مشابه
Rough parameter dependence in climate models and the role of Ruelle-Pollicott resonances.
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 ra...
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The Pollicott-Ruelle resonances for the sawtooth map are investigated. We turn our attention to the parametric dependence of them with respect to the bifurcation parameter K. It is numerically shown that the resonances move in an erratic way if the bifurcation parameter K is supposed to be time. At certain rational values of K, it is observed that some resonances shrink to z=0. In particular, a...
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Quantum and classical correlations are studied experimentally in model n-disk microwave billiards. The wave vector kappa autocorrelation C(kappa) of the quantum spectrum displays nonuniversal oscillations for large kappa, comparable to the universal random matrix theory behavior observed for small kappa. The nonuniversal behavior is shown to be completely determined by the classical Ruelle-Poll...
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ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 2014
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.1321816111