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Climate Model Attractors: Chaos, Quasi-regularity and Sensitivity to Small Perturbations of External Forcing : Volume 8, Issue 4/5 (30/11/-0001)

By Dymnikov, V. P.

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Book Id: WPLBN0004019979
Format Type: PDF Article :
File Size: Pages 9
Reproduction Date: 2015

Title: Climate Model Attractors: Chaos, Quasi-regularity and Sensitivity to Small Perturbations of External Forcing : Volume 8, Issue 4/5 (30/11/-0001)  
Author: Dymnikov, V. P.
Volume: Vol. 8, Issue 4/5
Language: English
Subject: Science, Nonlinear, Processes
Collections: Periodicals: Journal and Magazine Collection, Copernicus GmbH
Historic
Publication Date:
-0001
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications

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Gritsoun, A. S., & Dymnikov, V. P. (-0001). Climate Model Attractors: Chaos, Quasi-regularity and Sensitivity to Small Perturbations of External Forcing : Volume 8, Issue 4/5 (30/11/-0001). Retrieved from http://worldlibrary.in/


Description
Description: Institute of Numerical Mathematics, Moscow, Russia. 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.

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

 

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