Chaotic attractors of atmospheric models
Abstract - In this paper we consider the theoretical results obtained for atmospheric models with chaotic dynamics. To define the notion of ‘climate’ for the real climate system we introduce the concept of ‘ideal climate model’. Starting from this concept we formulate problems that should be studied...
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| Autor*in: |
Dymnikov, V. P. [verfasserIn] |
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| Format: |
Artikel |
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| Erschienen: |
2002 |
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| Anmerkung: |
© 2014 by Walter de Gruyter Berlin/Boston |
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| Übergeordnetes Werk: |
Enthalten in: Russian journal of numerical analysis and mathematical modelling - De Gruyter, 1992, 17(2002), 3 vom: 01. Juni, Seite 249-282 |
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| Übergeordnetes Werk: |
volume:17 ; year:2002 ; number:3 ; day:01 ; month:06 ; pages:249-282 |
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| DOI / URN: |
10.1515/rnam-2002-0303 |
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OLC2136319280 |
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| 520 | |a Abstract - In this paper we consider the theoretical results obtained for atmospheric models with chaotic dynamics. To define the notion of ‘climate’ for the real climate system we introduce the concept of ‘ideal climate model’. Starting from this concept we formulate problems that should be studied for the specific climate (or atmospheric) model under consideration. Further we give the analysis of the theoretical results for some widely used atmospheric models (barotropic, two-layer quasigeostrophic, a system of ‘primitive’ equations). In fact, most of the atmospheric and climate models are the results of some approximations to original systems (which are, in general, systems of partial differential equations). The problems of closeness for characteristics of original and approximating models are studied in the corresponding section of the paper. The central problem of the modern climate theory is the problem of the climate sensitivity to small perturbations of system parameters. In our paper we give the analysis of possible approaches to the solution of this problem. In particular, we consider the applicability of the fluctuation-dissipation theorem for the prediction of the system response to small perturbations of the external forcing. The results of numerical experiments with barotropic and two-layer quasigeostrophic atmospheric models, which were obtained along this line, are also presented. | ||
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10.1515/rnam-2002-0303 doi (DE-627)OLC2136319280 (DE-B1597)rnam-2002-0303-p DE-627 ger DE-627 rakwb 510 VZ 510 VZ 11 ssgn Dymnikov, V. P. verfasserin aut Chaotic attractors of atmospheric models 2002 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © 2014 by Walter de Gruyter Berlin/Boston Abstract - In this paper we consider the theoretical results obtained for atmospheric models with chaotic dynamics. To define the notion of ‘climate’ for the real climate system we introduce the concept of ‘ideal climate model’. Starting from this concept we formulate problems that should be studied for the specific climate (or atmospheric) model under consideration. Further we give the analysis of the theoretical results for some widely used atmospheric models (barotropic, two-layer quasigeostrophic, a system of ‘primitive’ equations). In fact, most of the atmospheric and climate models are the results of some approximations to original systems (which are, in general, systems of partial differential equations). The problems of closeness for characteristics of original and approximating models are studied in the corresponding section of the paper. The central problem of the modern climate theory is the problem of the climate sensitivity to small perturbations of system parameters. In our paper we give the analysis of possible approaches to the solution of this problem. In particular, we consider the applicability of the fluctuation-dissipation theorem for the prediction of the system response to small perturbations of the external forcing. The results of numerical experiments with barotropic and two-layer quasigeostrophic atmospheric models, which were obtained along this line, are also presented. Gritsoun, A. S. aut Enthalten in Russian journal of numerical analysis and mathematical modelling De Gruyter, 1992 17(2002), 3 vom: 01. Juni, Seite 249-282 (DE-627)131062387 (DE-600)1107190-4 (DE-576)029159121 0927-6467 nnns volume:17 year:2002 number:3 day:01 month:06 pages:249-282 https://doi.org/10.1515/rnam-2002-0303 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_24 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2012 GBV_ILN_2088 GBV_ILN_4700 AR 17 2002 3 01 06 249-282 |
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10.1515/rnam-2002-0303 doi (DE-627)OLC2136319280 (DE-B1597)rnam-2002-0303-p DE-627 ger DE-627 rakwb 510 VZ 510 VZ 11 ssgn Dymnikov, V. P. verfasserin aut Chaotic attractors of atmospheric models 2002 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © 2014 by Walter de Gruyter Berlin/Boston Abstract - In this paper we consider the theoretical results obtained for atmospheric models with chaotic dynamics. To define the notion of ‘climate’ for the real climate system we introduce the concept of ‘ideal climate model’. Starting from this concept we formulate problems that should be studied for the specific climate (or atmospheric) model under consideration. Further we give the analysis of the theoretical results for some widely used atmospheric models (barotropic, two-layer quasigeostrophic, a system of ‘primitive’ equations). In fact, most of the atmospheric and climate models are the results of some approximations to original systems (which are, in general, systems of partial differential equations). The problems of closeness for characteristics of original and approximating models are studied in the corresponding section of the paper. The central problem of the modern climate theory is the problem of the climate sensitivity to small perturbations of system parameters. In our paper we give the analysis of possible approaches to the solution of this problem. In particular, we consider the applicability of the fluctuation-dissipation theorem for the prediction of the system response to small perturbations of the external forcing. The results of numerical experiments with barotropic and two-layer quasigeostrophic atmospheric models, which were obtained along this line, are also presented. Gritsoun, A. S. aut Enthalten in Russian journal of numerical analysis and mathematical modelling De Gruyter, 1992 17(2002), 3 vom: 01. Juni, Seite 249-282 (DE-627)131062387 (DE-600)1107190-4 (DE-576)029159121 0927-6467 nnns volume:17 year:2002 number:3 day:01 month:06 pages:249-282 https://doi.org/10.1515/rnam-2002-0303 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_24 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2012 GBV_ILN_2088 GBV_ILN_4700 AR 17 2002 3 01 06 249-282 |
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10.1515/rnam-2002-0303 doi (DE-627)OLC2136319280 (DE-B1597)rnam-2002-0303-p DE-627 ger DE-627 rakwb 510 VZ 510 VZ 11 ssgn Dymnikov, V. P. verfasserin aut Chaotic attractors of atmospheric models 2002 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © 2014 by Walter de Gruyter Berlin/Boston Abstract - In this paper we consider the theoretical results obtained for atmospheric models with chaotic dynamics. To define the notion of ‘climate’ for the real climate system we introduce the concept of ‘ideal climate model’. Starting from this concept we formulate problems that should be studied for the specific climate (or atmospheric) model under consideration. Further we give the analysis of the theoretical results for some widely used atmospheric models (barotropic, two-layer quasigeostrophic, a system of ‘primitive’ equations). In fact, most of the atmospheric and climate models are the results of some approximations to original systems (which are, in general, systems of partial differential equations). The problems of closeness for characteristics of original and approximating models are studied in the corresponding section of the paper. The central problem of the modern climate theory is the problem of the climate sensitivity to small perturbations of system parameters. In our paper we give the analysis of possible approaches to the solution of this problem. In particular, we consider the applicability of the fluctuation-dissipation theorem for the prediction of the system response to small perturbations of the external forcing. The results of numerical experiments with barotropic and two-layer quasigeostrophic atmospheric models, which were obtained along this line, are also presented. Gritsoun, A. S. aut Enthalten in Russian journal of numerical analysis and mathematical modelling De Gruyter, 1992 17(2002), 3 vom: 01. Juni, Seite 249-282 (DE-627)131062387 (DE-600)1107190-4 (DE-576)029159121 0927-6467 nnns volume:17 year:2002 number:3 day:01 month:06 pages:249-282 https://doi.org/10.1515/rnam-2002-0303 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_24 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2012 GBV_ILN_2088 GBV_ILN_4700 AR 17 2002 3 01 06 249-282 |
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10.1515/rnam-2002-0303 doi (DE-627)OLC2136319280 (DE-B1597)rnam-2002-0303-p DE-627 ger DE-627 rakwb 510 VZ 510 VZ 11 ssgn Dymnikov, V. P. verfasserin aut Chaotic attractors of atmospheric models 2002 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © 2014 by Walter de Gruyter Berlin/Boston Abstract - In this paper we consider the theoretical results obtained for atmospheric models with chaotic dynamics. To define the notion of ‘climate’ for the real climate system we introduce the concept of ‘ideal climate model’. Starting from this concept we formulate problems that should be studied for the specific climate (or atmospheric) model under consideration. Further we give the analysis of the theoretical results for some widely used atmospheric models (barotropic, two-layer quasigeostrophic, a system of ‘primitive’ equations). In fact, most of the atmospheric and climate models are the results of some approximations to original systems (which are, in general, systems of partial differential equations). The problems of closeness for characteristics of original and approximating models are studied in the corresponding section of the paper. The central problem of the modern climate theory is the problem of the climate sensitivity to small perturbations of system parameters. In our paper we give the analysis of possible approaches to the solution of this problem. In particular, we consider the applicability of the fluctuation-dissipation theorem for the prediction of the system response to small perturbations of the external forcing. The results of numerical experiments with barotropic and two-layer quasigeostrophic atmospheric models, which were obtained along this line, are also presented. Gritsoun, A. S. aut Enthalten in Russian journal of numerical analysis and mathematical modelling De Gruyter, 1992 17(2002), 3 vom: 01. Juni, Seite 249-282 (DE-627)131062387 (DE-600)1107190-4 (DE-576)029159121 0927-6467 nnns volume:17 year:2002 number:3 day:01 month:06 pages:249-282 https://doi.org/10.1515/rnam-2002-0303 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_24 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2012 GBV_ILN_2088 GBV_ILN_4700 AR 17 2002 3 01 06 249-282 |
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10.1515/rnam-2002-0303 doi (DE-627)OLC2136319280 (DE-B1597)rnam-2002-0303-p DE-627 ger DE-627 rakwb 510 VZ 510 VZ 11 ssgn Dymnikov, V. P. verfasserin aut Chaotic attractors of atmospheric models 2002 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © 2014 by Walter de Gruyter Berlin/Boston Abstract - In this paper we consider the theoretical results obtained for atmospheric models with chaotic dynamics. To define the notion of ‘climate’ for the real climate system we introduce the concept of ‘ideal climate model’. Starting from this concept we formulate problems that should be studied for the specific climate (or atmospheric) model under consideration. Further we give the analysis of the theoretical results for some widely used atmospheric models (barotropic, two-layer quasigeostrophic, a system of ‘primitive’ equations). In fact, most of the atmospheric and climate models are the results of some approximations to original systems (which are, in general, systems of partial differential equations). The problems of closeness for characteristics of original and approximating models are studied in the corresponding section of the paper. The central problem of the modern climate theory is the problem of the climate sensitivity to small perturbations of system parameters. In our paper we give the analysis of possible approaches to the solution of this problem. In particular, we consider the applicability of the fluctuation-dissipation theorem for the prediction of the system response to small perturbations of the external forcing. The results of numerical experiments with barotropic and two-layer quasigeostrophic atmospheric models, which were obtained along this line, are also presented. Gritsoun, A. S. aut Enthalten in Russian journal of numerical analysis and mathematical modelling De Gruyter, 1992 17(2002), 3 vom: 01. Juni, Seite 249-282 (DE-627)131062387 (DE-600)1107190-4 (DE-576)029159121 0927-6467 nnns volume:17 year:2002 number:3 day:01 month:06 pages:249-282 https://doi.org/10.1515/rnam-2002-0303 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_24 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2012 GBV_ILN_2088 GBV_ILN_4700 AR 17 2002 3 01 06 249-282 |
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Abstract - In this paper we consider the theoretical results obtained for atmospheric models with chaotic dynamics. To define the notion of ‘climate’ for the real climate system we introduce the concept of ‘ideal climate model’. Starting from this concept we formulate problems that should be studied for the specific climate (or atmospheric) model under consideration. Further we give the analysis of the theoretical results for some widely used atmospheric models (barotropic, two-layer quasigeostrophic, a system of ‘primitive’ equations). In fact, most of the atmospheric and climate models are the results of some approximations to original systems (which are, in general, systems of partial differential equations). The problems of closeness for characteristics of original and approximating models are studied in the corresponding section of the paper. The central problem of the modern climate theory is the problem of the climate sensitivity to small perturbations of system parameters. In our paper we give the analysis of possible approaches to the solution of this problem. In particular, we consider the applicability of the fluctuation-dissipation theorem for the prediction of the system response to small perturbations of the external forcing. The results of numerical experiments with barotropic and two-layer quasigeostrophic atmospheric models, which were obtained along this line, are also presented. © 2014 by Walter de Gruyter Berlin/Boston |
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Abstract - In this paper we consider the theoretical results obtained for atmospheric models with chaotic dynamics. To define the notion of ‘climate’ for the real climate system we introduce the concept of ‘ideal climate model’. Starting from this concept we formulate problems that should be studied for the specific climate (or atmospheric) model under consideration. Further we give the analysis of the theoretical results for some widely used atmospheric models (barotropic, two-layer quasigeostrophic, a system of ‘primitive’ equations). In fact, most of the atmospheric and climate models are the results of some approximations to original systems (which are, in general, systems of partial differential equations). The problems of closeness for characteristics of original and approximating models are studied in the corresponding section of the paper. The central problem of the modern climate theory is the problem of the climate sensitivity to small perturbations of system parameters. In our paper we give the analysis of possible approaches to the solution of this problem. In particular, we consider the applicability of the fluctuation-dissipation theorem for the prediction of the system response to small perturbations of the external forcing. The results of numerical experiments with barotropic and two-layer quasigeostrophic atmospheric models, which were obtained along this line, are also presented. © 2014 by Walter de Gruyter Berlin/Boston |
| abstract_unstemmed |
Abstract - In this paper we consider the theoretical results obtained for atmospheric models with chaotic dynamics. To define the notion of ‘climate’ for the real climate system we introduce the concept of ‘ideal climate model’. Starting from this concept we formulate problems that should be studied for the specific climate (or atmospheric) model under consideration. Further we give the analysis of the theoretical results for some widely used atmospheric models (barotropic, two-layer quasigeostrophic, a system of ‘primitive’ equations). In fact, most of the atmospheric and climate models are the results of some approximations to original systems (which are, in general, systems of partial differential equations). The problems of closeness for characteristics of original and approximating models are studied in the corresponding section of the paper. The central problem of the modern climate theory is the problem of the climate sensitivity to small perturbations of system parameters. In our paper we give the analysis of possible approaches to the solution of this problem. In particular, we consider the applicability of the fluctuation-dissipation theorem for the prediction of the system response to small perturbations of the external forcing. The results of numerical experiments with barotropic and two-layer quasigeostrophic atmospheric models, which were obtained along this line, are also presented. © 2014 by Walter de Gruyter Berlin/Boston |
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Chaotic attractors of atmospheric models |
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Gritsoun, A. S. |
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