期刊
PHYSICA D-NONLINEAR PHENOMENA
卷 240, 期 21, 页码 1685-1700出版社
ELSEVIER
DOI: 10.1016/j.physd.2011.06.005
关键词
Climate dynamics; Dissipative dynamical systems; Intermittency; Pullback and random attractor; Sample invariant measure; SRB measure
资金
- DOE [DE-FG02-07ER64439, DE-FG02-02ER63413]
- NSF [DMS-1049253]
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1049253] Funding Source: National Science Foundation
This article attempts a unification of the two approaches that have dominated theoretical climate dynamics since its inception in the 1960s: the nonlinear deterministic and the linear stochastic one. This unification, via the theory of random dynamical systems (RDS), allows one to consider the detailed geometric structure of the random attractors associated with nonlinear, stochastically perturbed systems. We report on high-resolution numerical studies of two idealized models of fundamental interest for climate dynamics. The first of the two is a stochastically forced version of the classical Lorenz model. The second one is a low-dimensional, nonlinear stochastic model of the El Nino-Southern Oscillation (ENSO). These studies provide a good approximation of the two models' global random attractors, as well as of the time-dependent invariant measures supported by these attractors; the latter are shown to have an intuitive physical interpretation as random versions of Sinai-Ruelle-Bowen (SRB) measures. (C) 2011 Elsevier B.V. All rights reserved.
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