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Volumn 8, Issue 1, 2010, Pages 145-172

Linear response theory for statistical ensembles in complex systems with time-periodic forcing

Author keywords

Climate response; Fluctuation dissipation theory; Information content; Linear response theory; Quasi Gaussian and Gaussian approximation; Relative entropy; Time periodic coefficients

Indexed keywords


EID: 77949669181     PISSN: 15396746     EISSN: None     Source Type: Journal    
DOI: 10.4310/CMS.2010.v8.n1.a8     Document Type: Article
Times cited : (63)

References (30)
  • 1
    • 36348987164 scopus 로고    scopus 로고
    • Blended response algorithms for linear fluctuation-dissipation for complex nonlinear dynamical systems
    • R.V. Abramov and A.J. Majda, Blended response algorithms for linear fluctuation-dissipation for complex nonlinear dynamical systems, Nonlinearity, 20(12), 2793-2821, 2007.
    • (2007) Nonlinearity , vol.20 , Issue.12 , pp. 2793-2821
    • Abramov, R.V.1    Majda, A.J.2
  • 2
    • 84867954551 scopus 로고    scopus 로고
    • New approximations and tests of linear fluctuation-response for chaotic nonlinear forced-dissipative dynamical systems
    • R.V. Abramov and A.J. Majda, New approximations and tests of linear fluctuation-response for chaotic nonlinear forced-dissipative dynamical systems, J. Nonlin. Sci., 18(3), 303-341, 2008.
    • (2008) J. Nonlin. Sci. , vol.18 , Issue.3 , pp. 303-341
    • Abramov, R.V.1    Majda, A.J.2
  • 3
    • 65549103407 scopus 로고    scopus 로고
    • New algorithms for low Frequency climate response
    • R.V. Abramov and A.J. Majda, New algorithms for low Frequency climate response, J. Atmos. Sci., 66, 286-309, 2009.
    • (2009) J. Atmos. Sci. , vol.66 , pp. 286-309
    • Abramov, R.V.1    Majda, A.J.2
  • 4
    • 77954793528 scopus 로고    scopus 로고
    • Primitive-equation-based low order models with seasonal cycle
    • U. Achatz and J.D. Opsteegh, Primitive-equation-based low order models with seasonal cycle, J. Atmos. Sci., 60, 649-690, 2002.
    • (2002) J. Atmos. Sci. , vol.60 , pp. 649-690
    • Achatz, U.1    Opsteegh, J.D.2
  • 6
    • 0042847422 scopus 로고    scopus 로고
    • The seasonal cycle of interannual variability and the dynamical imprint of the seasonally varying mean state
    • July
    • G. Branstator and J. Frederiksen, The seasonal cycle of interannual variability and the dynamical imprint of the seasonally varying mean state, J. Atmo. Sci., 60(13), 1577-1592, July, 2003.
    • (2003) J. Atmo. Sci. , vol.60 , Issue.13 , pp. 1577-1592
    • Branstator, G.1    Frederiksen, J.2
  • 7
    • 53049096229 scopus 로고    scopus 로고
    • A uniformly dissipative scheme for stationary statistical properties of the infinite Prandtl number model
    • W. Cheng and X. Wang, A uniformly dissipative scheme for stationary statistical properties of the infinite Prandtl number model, App. Math. Lett., 21, 1281-1285, 2008.
    • (2008) App. Math. Lett. , vol.21 , pp. 1281-1285
    • Cheng, W.1    Wang, X.2
  • 8
    • 61349176737 scopus 로고    scopus 로고
    • A semi-implicit scheme for stationary statistical properties of the infinite Prandtl number model
    • W. Cheng and X. Wang, A semi-implicit scheme for stationary statistical properties of the infinite Prandtl number model, SIAM J. Num. Anal., 47(1), 250-270, 2008.
    • (2008) SIAM J. Num. Anal. , vol.47 , Issue.1 , pp. 250-270
    • Cheng, W.1    Wang, X.2
  • 12
    • 20444432201 scopus 로고    scopus 로고
    • Seasonal variability of teleconnection patterns
    • J.S. Frederiksen and G. Branstator, Seasonal variability of teleconnection patterns, J. Atmos. Sci., 62, 1346-1365, 2005.
    • (2005) J. Atmos. Sci. , vol.62 , pp. 1346-1365
    • Frederiksen, J.S.1    Branstator, G.2
  • 14
    • 34547816534 scopus 로고    scopus 로고
    • Climate response using a three-dimensional operator based on the fluctuation-dissipation theorem
    • July
    • A.S. Gritsun and G. Branstator, Climate response using a three-dimensional operator based on the fluctuation-dissipation theorem, J. Atmo. Sci., 64(7), 2558-2575, July, 2007.
    • (2007) J. Atmo. Sci. , vol.64 , Issue.7 , pp. 2558-2575
    • Gritsun, A.S.1    Branstator, G.2
  • 15
    • 0038378803 scopus 로고    scopus 로고
    • Construction of the linear response operator of an atmospheric general circulation model to small external forcing
    • A.S. Gritsoun, G. Branstator and V.P. Dymnikov, Construction of the linear response operator of an atmospheric general circulation model to small external forcing, Russian J. Numer. Anal. Math. Modeling, 17, 399-416, 2002.
    • (2002) Russian J. Numer. Anal. Math. Modeling , vol.17 , pp. 399-416
    • Gritsoun, A.S.1    Branstator, G.2    Dymnikov, V.P.3
  • 16
    • 56849093930 scopus 로고    scopus 로고
    • Climate response of linear and quadratic functionals using the fluctuation-dissipation theorem
    • A.S. Gritsun, G. Branstator and A.J. Majda, Climate response of linear and quadratic functionals using the fluctuation-dissipation theorem, J. Atmos. Sci., 65, 2824-2841, 2008.
    • (2008) J. Atmos. Sci. , vol.65 , pp. 2824-2841
    • Gritsun, A.S.1    Branstator, G.2    Majda, A.J.3
  • 17
    • 0033382002 scopus 로고    scopus 로고
    • Barotropic atmosphere response to small external actions: theory and numerical experiments, zv
    • A.S. Gritsoun and V.P. Dymnikov, Barotropic atmosphere response to small external actions: theory and numerical experiments, zv. Russ. Acad. Sci. Atmosphere Ocean Phys., 35(5), 511-525, 1999.
    • (1999) Russ. Acad. Sci. Atmosphere Ocean Phys. , vol.35 , Issue.5 , pp. 511-525
    • Gritsoun, A.S.1    Dymnikov, V.P.2
  • 18
    • 0016559683 scopus 로고
    • Climate response and fluctuation-dissipation
    • C. Leith, Climate response and fluctuation-dissipation, J. Atmos. Sci., 32, 2022-2025, 1975.
    • (1975) J. Atmos. Sci. , vol.32 , pp. 2022-2025
    • Leith, C.1
  • 22
    • 45149101451 scopus 로고    scopus 로고
    • An applied mathematics perspective on stochastic modelling for climate
    • A.J. Majda, C. Franzke and B. Khouider, An applied mathematics perspective on stochastic modelling for climate, Phil. Trans. R. Soc. A., 366, 2429-2455, 2008.
    • (2008) Phil. Trans. R. Soc. A. , vol.366 , pp. 2429-2455
    • Majda, A.J.1    Franzke, C.2    Khouider, B.3
  • 24
    • 0141460773 scopus 로고    scopus 로고
    • Dynamics of model error: some generic features
    • C. Nicolis, Dynamics of model error: some generic features, J. Atmos. Sci., 60(17), 2208-2218, 2003.
    • (2003) J. Atmos. Sci. , vol.60 , Issue.17 , pp. 2208-2218
    • Nicolis, C.1
  • 25
    • 0035086606 scopus 로고    scopus 로고
    • A nonlinear dynamical perspective on model error: a proposal for non-local stochastic-dynamic parameterizations in weather and climate prediction models
    • T.N. Palmer, A nonlinear dynamical perspective on model error: a proposal for non-local stochastic-dynamic parameterizations in weather and climate prediction models, Q.J.R. Meteorol. Soc., 127, 279-304, 2001.
    • (2001) Q.J.R. Meteorol. Soc. , vol.127 , pp. 279-304
    • Palmer, T.N.1
  • 27
    • 0024189823 scopus 로고
    • The reliability of improvements in deterministic short-range forecasts in the presence of initial state and modelling deficiencies
    • J.J. Tribbia and D.P. Baumhefner, The reliability of improvements in deterministic short-range forecasts in the presence of initial state and modelling deficiencies, Mon. Weather Rev., 116, 2276-2288, 1988.
    • (1988) Mon. Weather Rev. , vol.116 , pp. 2276-2288
    • Tribbia, J.J.1    Baumhefner, D.P.2
  • 29
    • 61349158111 scopus 로고    scopus 로고
    • Upper Semi-Continuity of Stationary Statistical Properties of Dissipative Systems
    • doi:10.3934/dxds.2009.23.521
    • X. Wang, Upper Semi-Continuity of Stationary Statistical Properties of Dissipative Systems, Discrete and Continuous Dynamical Systems, A, 23(1/2), 521-540, 2009. doi:10.3934/dxds.2009.23.521
    • (2009) Discrete and Continuous Dynamical Systems, A , vol.23 , Issue.1-2 , pp. 521-540
    • Wang, X.1
  • 30
    • 77952852572 scopus 로고    scopus 로고
    • Approximation of stationary statistical properties of dissipative dynamical systems: time discretization
    • posted on April 20, doi:10.1090/S0025-5718-09-02256-X (to appear in print)
    • X. Wang, Approximation of stationary statistical properties of dissipative dynamical systems: time discretization, Math. Comp., posted on April 20, 2009, doi:10.1090/S0025-5718-09-02256-X (to appear in print).
    • (2009) Math. Comp.
    • Wang, X.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.