climate model attractors: chaos, quasi-regularity and sensitivity to small perturbations of external forcing

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ID: 237429
2001
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Abstract
In this paper we discuss some theoretical results obtained for climate models (theorems for the existence of global attractors and inertial manifolds, estimates of attractor dimension and Lyapunov exponents, symmetry property of Lyapunov spectrum). We define the conditions for "quasi-regular behaviour" of a climate system. Under these conditions, the system behaviour is subject to the Kraichnan fluctuation-dissipation relation. This fact allows us to solve the problem of determining a system's sensitivity to small perturbations to an external forcing. The applicability of the above approach to the analysis of the climate system sensitivity is verified numerically with the example of the two-layer quasi-geostrophic atmospheric model.
Reference Key
dymnikov2001nonlinearclimate Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;V. P. Dymnikov;A. S. Gritsoun
Journal BMC research notes
Year 2001
DOI
DOI not found
URL
http://www.nonlin-processes-geophys.net/8/201/2001/npg-8-201-2001.pdf
Keywords
cosmic physics sciencephysicsgeophysics

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