WSEAS Transactions on Systems
Print ISSN: 1109-2777, E-ISSN: 2224-2678
Volume 13, 2014
Basic Properties of Slow-Fast Nonlinear Dynamical System in the Atmosphere-Ocean Aggregate Modeling
Authors: ,
Abstract: Complex dynamical processes occurring in the earth’s climate system are strongly nonlinear and exhibit wave-like oscillations within broad time-space spectrum. One way to imitate essential features of such processes is using a coupled nonlinear dynamical system, obtained by combining two versions of the well-known Lorenz (1963) model with distinct time scales that differ by a certain time-scale factor. This dynamical system is frequently applied for studying various aspects of atmospheric and climate dynamics, as well as for estimating the effectiveness of numerical algorithms and techniques used in numerical weather prediction, data assimilation and climate simulation. This paper examines basic dynamic, correlation and spectral properties of this system, and quantifies the influence of the coupling strength on power spectrum densities, spectrograms and autocorrelation functions.
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Keywords: Dynamical system, earth’s climate system, numerical weather prediction, spectral properties
Pages: 757-766
WSEAS Transactions on Systems, ISSN / E-ISSN: 1109-2777 / 2224-2678, Volume 13, 2014, Art. #75