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Nonlinear Processes in Geophysics An interactive open-access journal of the European Geosciences Union
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Volume 8, issue 4/5
Nonlin. Processes Geophys., 8, 201–209, 2001
https://doi.org/10.5194/npg-8-201-2001
© Author(s) 2001. This work is licensed under
the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.

Special issue: Achievements and Directions in Nonlinear Geophysics

Nonlin. Processes Geophys., 8, 201–209, 2001
https://doi.org/10.5194/npg-8-201-2001
© Author(s) 2001. This work is licensed under
the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.

  31 Oct 2001

31 Oct 2001

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

V. P. Dymnikov and A. S. Gritsoun V. P. Dymnikov and A. S. Gritsoun
  • Institute of Numerical Mathematics, Moscow, Russia

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.

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