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Volumn 199, Issue 3-4, 2004, Pages 339-368

Low-dimensional chaotic dynamics versus intrinsic stochastic noise: A paradigm model

Author keywords

Heteroclinic orbit; Mode reduction; Non Gaussian statistics; Stochastic modeling

Indexed keywords

COMPUTER SIMULATION; DATA REDUCTION; MATHEMATICAL MODELS; NONLINEAR EQUATIONS; ORDINARY DIFFERENTIAL EQUATIONS; RANDOM PROCESSES;

EID: 10644246719     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2004.05.012     Document Type: Article
Times cited : (22)

References (41)
  • 1
    • 2442599290 scopus 로고    scopus 로고
    • Hamiltonian structure and statistically relevant conserved quantities for the truncated Burgers - Hopf equation
    • R. Abramov, G. Kovacic, A.J. Majda, Hamiltonian structure and statistically relevant conserved quantities for the truncated Burgers - Hopf equation, Commun. Pure Appl. Math. 56 (2003) 1-46.
    • (2003) Commun. Pure Appl. Math. , vol.56 , pp. 1-46
    • Abramov, R.1    Kovacic, G.2    Majda, A.J.3
  • 2
    • 0033372615 scopus 로고    scopus 로고
    • A two-layer model with empirical linear corrections and reduced order for studies of internal climate variability
    • U. Achatz, G. Branstator, A two-layer model with empirical linear corrections and reduced order for studies of internal climate variability, J. Atmos. Sci. 56 (1999) 3140-3160.
    • (1999) J. Atmos. Sci. , vol.56 , pp. 3140-3160
    • Achatz, U.1    Branstator, G.2
  • 3
    • 45549113061 scopus 로고
    • Heteroclinic cycles and modulated traveling waves in systems with O(2) symmetry
    • D.J. Ambruster, J. Guckenheimer, P. Holmes, Heteroclinic cycles and modulated traveling waves in systems with O(2) symmetry, Physica D 29 (1988) 257-282.
    • (1988) Physica D , vol.29 , pp. 257-282
    • Ambruster, D.J.1    Guckenheimer, J.2    Holmes, P.3
  • 4
    • 84972308308 scopus 로고
    • The dynamics of coherent structures in the wall region of a turbulent boundary layer
    • N. Aubry, P. Holmes, J. Lumley, E. Stone, The dynamics of coherent structures in the wall region of a turbulent boundary layer, J. Fluid Mech. (1988) 115-173.
    • (1988) J. Fluid Mech. , pp. 115-173
    • Aubry, N.1    Holmes, P.2    Lumley, J.3    Stone, E.4
  • 6
    • 0032194329 scopus 로고
    • An empirical model of barotropic atmospheric dynamics and its response to tropical forcing
    • G. Branstator, S.E. Haupt, An empirical model of barotropic atmospheric dynamics and its response to tropical forcing, J. Climate 11 (1995) 2645-2667.
    • (1995) J. Climate , vol.11 , pp. 2645-2667
    • Branstator, G.1    Haupt, S.E.2
  • 8
    • 0018718554 scopus 로고
    • Multiple flow equilibria in the atmosphere and blocking
    • J.G. Charney, J.G. DeVore, Multiple flow equilibria in the atmosphere and blocking, J. Atmos. Sci. 36 (1979) 1205-1216.
    • (1979) J. Atmos. Sci. , vol.36 , pp. 1205-1216
    • Charney, J.G.1    Devore, J.G.2
  • 9
    • 0036268382 scopus 로고    scopus 로고
    • Homoclinic dynamics: A scenario for atmospheric ultra-low-frequency variability
    • D.T. Crommelin, Homoclinic dynamics: a scenario for atmospheric ultra-low-frequency variability, J. Atmos. Sci. 59 (2002) 1533-1549.
    • (2002) J. Atmos. Sci. , vol.59 , pp. 1533-1549
    • Crommelin, D.T.1
  • 10
    • 0242307120 scopus 로고    scopus 로고
    • Regime transitions and heteroclinic connections in a barotropic atmosphere
    • D.T. Crommelin, Regime transitions and heteroclinic connections in a barotropic atmosphere, J. Atmos. Sci. 60 (2003) 229-246.
    • (2003) J. Atmos. Sci. , vol.60 , pp. 229-246
    • Crommelin, D.T.1
  • 11
    • 0030425260 scopus 로고    scopus 로고
    • Quasi-linear equilibration of a thermally maintained, stochastically excited jet in a quasigeostrophic model
    • T. DelSole, B.F. Farrel, Quasi-linear equilibration of a thermally maintained, stochastically excited jet in a quasigeostrophic model, J. Atmos. Sci. 53 (1996) 1781-1797.
    • (1996) J. Atmos. Sci. , vol.53 , pp. 1781-1797
    • Delsole, T.1    Farrel, B.F.2
  • 12
    • 0023519792 scopus 로고
    • Effect of stochastic perturbations on a low-order spectral model of the atmospheric circulation
    • H.E. DeSwart, J. Grasman, Effect of stochastic perturbations on a low-order spectral model of the atmospheric circulation, Tellus 39A (1987) 10-24.
    • (1987) Tellus , vol.39 A , pp. 10-24
    • Deswart, H.E.1    Grasman, J.2
  • 13
    • 85056018019 scopus 로고    scopus 로고
    • Low frequency variability of the large scale circulation: A dynamical systems approach
    • in press
    • H.A. Dijkstra, M. Ghil, Low frequency variability of the large scale circulation: a dynamical systems approach, Rev. Geophys., in press.
    • Rev. Geophys.
    • Dijkstra, H.A.1    Ghil, M.2
  • 14
    • 0035192852 scopus 로고    scopus 로고
    • Master equations for climate parameter sets
    • J. Egger, Master equations for climate parameter sets, Climate Dynam. 18 (2001) 169-177.
    • (2001) Climate Dynam. , vol.18 , pp. 169-177
    • Egger, J.1
  • 15
    • 0036537617 scopus 로고    scopus 로고
    • Covariance analysis of the global atmospheric axial angular momentum budget
    • J. Egger, K.-P. Hoinka, Covariance analysis of the global atmospheric axial angular momentum budget, Monthly Weather Rev. 130 (4) (2002) 1063-1070.
    • (2002) Monthly Weather Rev. , vol.130 , Issue.4 , pp. 1063-1070
    • Egger, J.1    Hoinka, K.-P.2
  • 16
    • 13244266684 scopus 로고    scopus 로고
    • Low order stochastic mode reduction for a realistic barotropic model climate
    • submitted for publication
    • C. Franzke, A. Majda, E. Vanden-Eijnden, Low order stochastic mode reduction for a realistic barotropic model climate, J. Atmos. Sci., submitted for publication.
    • J. Atmos. Sci.
    • Franzke, C.1    Majda, A.2    Vanden-Eijnden, E.3
  • 17
    • 0003399724 scopus 로고    scopus 로고
    • Understanding molecular simulations
    • Academic Press, San Diego
    • D. Frenkel, B. Smit, Understanding molecular simulations, in: From Algorithms to Applications, Academic Press, San Diego, 1996.
    • (1996) From Algorithms to Applications
    • Frenkel, D.1    Smit, B.2
  • 19
    • 0037133238 scopus 로고    scopus 로고
    • "Waves" vs. "Particles" in the atmosphere's phases space: A pathway to long-range forecasting?
    • M. Ghil, A.W. Robertson, "Waves" vs. "Particles" in the atmosphere's phases space: a pathway to long-range forecasting? Proc. Nat. Acad. Sci. USA 99 (2002) 2493-2500.
    • (2002) Proc. Nat. Acad. Sci. USA , vol.99 , pp. 2493-2500
    • Ghil, M.1    Robertson, A.W.2
  • 20
    • 0038868531 scopus 로고
    • Resonant triad interactions in symmetric systems
    • J. Guckenheimer, A. Mahalov, Resonant triad interactions in symmetric systems, Physica D 54 (1992) 267-310.
    • (1992) Physica D , vol.54 , pp. 267-310
    • Guckenheimer, J.1    Mahalov, A.2
  • 21
    • 0000316389 scopus 로고
    • Stochastic climate models. Part I. Theory
    • K. Hasselman, Stochastic climate models. Part I. Theory, Tellus 28 (1976) 473-485.
    • (1976) Tellus , vol.28 , pp. 473-485
    • Hasselman, K.1
  • 23
    • 0024703384 scopus 로고
    • Noise induced intermittency in a model of a turbulent boundary layer
    • P. Holmes, E. Stone, Noise induced intermittency in a model of a turbulent boundary layer, Physica D 37 (1989) 20-32.
    • (1989) Physica D , vol.37 , pp. 20-32
    • Holmes, P.1    Stone, E.2
  • 24
    • 0025447065 scopus 로고
    • Random perturbations of heteroclinic cycles
    • P. Holmes, E. Stone, Random perturbations of heteroclinic cycles, SIAM J. Appl. Math. 50 (3) (1990) 726-743.
    • (1990) SIAM J. Appl. Math. , vol.50 , Issue.3 , pp. 726-743
    • Holmes, P.1    Stone, E.2
  • 25
    • 0030407664 scopus 로고    scopus 로고
    • Multiple attractors and chaotic itinerancy in a quasigeostrophic model with realistic topography: Implications for weather regimes and low-frequency variability
    • H. Itoh, M. Kimoto, Multiple attractors and chaotic itinerancy in a quasigeostrophic model with realistic topography: implications for weather regimes and low-frequency variability, J. Atmos. Sci. 53 (1996) 2217-2231.
    • (1996) J. Atmos. Sci. , vol.53 , pp. 2217-2231
    • Itoh, H.1    Kimoto, M.2
  • 26
    • 0025589135 scopus 로고
    • Intraseasonal oscillations in the extratropics: Hopf bifurcation and topographic instabilities
    • F.-F. Jin, M. Ghil, Intraseasonal oscillations in the extratropics: hopf bifurcation and topographic instabilities, J. Atmos. Sci. 47 (1990) 3007-3022.
    • (1990) J. Atmos. Sci. , vol.47 , pp. 3007-3022
    • Jin, F.-F.1    Ghil, M.2
  • 27
    • 0040152018 scopus 로고
    • Principle of averaging for parabolic and elliptic differential equations and for Markov processes with small diffusion
    • R.Z. Khasminsky, Principle of averaging for parabolic and elliptic differential equations and for Markov processes with small diffusion, Theory Prob. Appl. 8 (1963) 1-21.
    • (1963) Theory Prob. Appl. , vol.8 , pp. 1-21
    • Khasminsky, R.Z.1
  • 29
    • 0009321799 scopus 로고
    • Semigroups of conditioned shifts and approximations of Markov processes
    • T.G. Kurtz, Semigroups of conditioned shifts and approximations of Markov processes, Ann. Prob. 3 (1975) 618-642.
    • (1975) Ann. Prob. , vol.3 , pp. 618-642
    • Kurtz, T.G.1
  • 30
    • 0016559683 scopus 로고
    • Climate response and fluctuation dissipation
    • C.E. Leith, Climate response and fluctuation dissipation, J. Atmos. Sci. 32 (1975) 2022-2025.
    • (1975) J. Atmos. Sci. , vol.32 , pp. 2022-2025
    • Leith, C.E.1
  • 31
    • 0022266341 scopus 로고
    • Persistent anomalies, blocking and variations in atmospheric predictability
    • B. Legras, M. Ghil, Persistent anomalies, blocking and variations in atmospheric predictability, J. Atmos. Sci. 42 (1985) 433-471.
    • (1985) J. Atmos. Sci. , vol.42 , pp. 433-471
    • Legras, B.1    Ghil, M.2
  • 32
    • 0033751055 scopus 로고    scopus 로고
    • Remarkable statistical behavior for truncated Burgers - Hopf dynamics
    • A. Majda, I. Timofeyev, Remarkable statistical behavior for truncated Burgers - Hopf dynamics, Proc. Nat. Acad. Sci. 97 (2000) 12413-12417.
    • (2000) Proc. Nat. Acad. Sci. , vol.97 , pp. 12413-12417
    • Majda, A.1    Timofeyev, I.2
  • 33
    • 0002023117 scopus 로고    scopus 로고
    • Statistical mechanics for truncations of the Burgers - Hopf equation: A model for intrinsic stochastic behavior with scaling
    • A. Majda, I. Timofeyev, Statistical mechanics for truncations of the Burgers - Hopf equation: a model for intrinsic stochastic behavior with scaling, Milan J. Math. 70 (1) (2002) 39-96.
    • (2002) Milan J. Math. , vol.70 , Issue.1 , pp. 39-96
    • Majda, A.1    Timofeyev, I.2
  • 36
    • 0037105977 scopus 로고    scopus 로고
    • A priori tests of a stochastic mode reduction strategy
    • A. Majda, I. Timofeyev, E. Vanden-Eijnden, A priori tests of a stochastic mode reduction strategy, Physica D 170 (2002) 206-252.
    • (2002) Physica D , vol.170 , pp. 206-252
    • Majda, A.1    Timofeyev, I.2    Vanden-Eijnden, E.3
  • 37
    • 0043127074 scopus 로고    scopus 로고
    • Systematic strategies for stochastic mode reduction in climate
    • A. Majda, I. Timofeyev, E. Vanden-Eijnden, Systematic strategies for stochastic mode reduction in climate, J. Atmos. Sci. 60 (14) (2003) 1705-1722.
    • (2003) J. Atmos. Sci. , vol.60 , Issue.14 , pp. 1705-1722
    • Majda, A.1    Timofeyev, I.2    Vanden-Eijnden, E.3
  • 38
    • 0035440277 scopus 로고    scopus 로고
    • Global bifurcation of Shilnikov type in a double gyre ocean
    • B.T. Nadiga, B. Luce, Global bifurcation of Shilnikov type in a double gyre ocean, J. Phys. Oceanography 31 (2001) 2669-2690.
    • (2001) J. Phys. Oceanography , vol.31 , pp. 2669-2690
    • Nadiga, B.T.1    Luce, B.2
  • 40
    • 84970882180 scopus 로고    scopus 로고
    • An averaging principle for fast degrees of freedom exhibiting long-term correlations
    • C. Schutte, J. Walter, C. Hartmann, W. Huisinga; An averaging principle for fast degrees of freedom exhibiting long-term correlations, Multiscale Model. Simul. 2 (3) (2004) 501-526.
    • (2004) Multiscale Model. Simul. , vol.2 , Issue.3 , pp. 501-526
    • Schutte, C.1    Walter, J.2    Hartmann, C.3    Huisinga, W.4
  • 41
    • 0031835110 scopus 로고    scopus 로고
    • A linear theory of extratropical synoptic eddy statistics
    • J.A. Whitaker, P.D. Sardeshmukh, A linear theory of extratropical synoptic eddy statistics, J. Atmos. Sci. 55 (1998) 237-258.
    • (1998) J. Atmos. Sci. , vol.55 , pp. 237-258
    • Whitaker, J.A.1    Sardeshmukh, P.D.2


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