Correlation and Spectral Properties of a Coupled Nonlinear Dynamical System in the Context of Numerical Weather Prediction and Climate Modeling
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 coupling two versions of...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2014/498184 |
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| _version_ | 1832555424900972544 |
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| author | Sergei Soldatenko Denis Chichkine |
| author_facet | Sergei Soldatenko Denis Chichkine |
| author_sort | Sergei Soldatenko |
| collection | DOAJ |
| description | 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 coupling 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, correlative, and spectral properties of this system and quantifies the influence of the coupling strength on power spectrum densities, spectrograms, and autocorrelation functions. |
| format | Article |
| id | doaj-art-68e7033119dd4a5db1b5a1813d39b3c8 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-68e7033119dd4a5db1b5a1813d39b3c82025-02-03T05:48:18ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2014-01-01201410.1155/2014/498184498184Correlation and Spectral Properties of a Coupled Nonlinear Dynamical System in the Context of Numerical Weather Prediction and Climate ModelingSergei Soldatenko0Denis Chichkine1Centre for Australian Weather and Climate Research, 700 Collins Street, Docklands, VIC 3008, AustraliaUniversity of Waterloo, 200 University Avenue West, Waterloo, ON, N2L 3G1, CanadaComplex 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 coupling 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, correlative, and spectral properties of this system and quantifies the influence of the coupling strength on power spectrum densities, spectrograms, and autocorrelation functions.http://dx.doi.org/10.1155/2014/498184 |
| spellingShingle | Sergei Soldatenko Denis Chichkine Correlation and Spectral Properties of a Coupled Nonlinear Dynamical System in the Context of Numerical Weather Prediction and Climate Modeling Discrete Dynamics in Nature and Society |
| title | Correlation and Spectral Properties of a Coupled Nonlinear Dynamical System in the Context of Numerical Weather Prediction and Climate Modeling |
| title_full | Correlation and Spectral Properties of a Coupled Nonlinear Dynamical System in the Context of Numerical Weather Prediction and Climate Modeling |
| title_fullStr | Correlation and Spectral Properties of a Coupled Nonlinear Dynamical System in the Context of Numerical Weather Prediction and Climate Modeling |
| title_full_unstemmed | Correlation and Spectral Properties of a Coupled Nonlinear Dynamical System in the Context of Numerical Weather Prediction and Climate Modeling |
| title_short | Correlation and Spectral Properties of a Coupled Nonlinear Dynamical System in the Context of Numerical Weather Prediction and Climate Modeling |
| title_sort | correlation and spectral properties of a coupled nonlinear dynamical system in the context of numerical weather prediction and climate modeling |
| url | http://dx.doi.org/10.1155/2014/498184 |
| work_keys_str_mv | AT sergeisoldatenko correlationandspectralpropertiesofacouplednonlineardynamicalsysteminthecontextofnumericalweatherpredictionandclimatemodeling AT denischichkine correlationandspectralpropertiesofacouplednonlineardynamicalsysteminthecontextofnumericalweatherpredictionandclimatemodeling |