메뉴 건너뛰기




Volumn 53, Issue 2, 1996, Pages 276-297

On Hamiltonian balanced dynamics and the slowest invariant manifold

Author keywords

[No Author keywords available]

Indexed keywords

ATMOSPHERE; GEOPHYSICAL FLUID DYNAMICS; HAMILTONIAN BALANCED; MATHEMATICAL TECHNIQUES; SLOWEST INVARIANT MANIFOLD;

EID: 0029656559     PISSN: 00224928     EISSN: None     Source Type: Journal    
DOI: 10.1175/1520-0469(1996)053<0276:OHBDAT>2.0.CO;2     Document Type: Article
Times cited : (44)

References (45)
  • 4
    • 0001310172 scopus 로고
    • Adjustments of initial conditions required to suppress gravity oscillations in nonlinear flows
    • Baer, F., 1977: Adjustments of initial conditions required to suppress gravity oscillations in nonlinear flows. Beitr. Phys. Atmos., 50, 350-366.
    • (1977) Beitr. Phys. Atmos. , vol.50 , pp. 350-366
    • Baer, F.1
  • 5
    • 0000671814 scopus 로고
    • On complete filtering of gravity modes through nonlinear initialization
    • _, and J. J. Tribbia, 1977: On complete filtering of gravity modes through nonlinear initialization. Mon. Wea. Rev., 105, 1536-1539.
    • (1977) Mon. Wea. Rev. , vol.105 , pp. 1536-1539
    • Tribbia, J.J.1
  • 6
    • 0003119144 scopus 로고
    • The calculation of periodic trajectories
    • Baranger, M., K. T. R. Davies, and J. H. Mahoney, 1988: The calculation of periodic trajectories. Ann. Phys., 186, 95-110.
    • (1988) Ann. Phys. , vol.186 , pp. 95-110
    • Baranger, M.1    Davies, K.T.R.2    Mahoney, J.H.3
  • 8
    • 0028607751 scopus 로고
    • The slow manifold of a five-mode model
    • Boyd, J. P., 1994: The slow manifold of a five-mode model. J. Atmos. Sci., 51, 1057-1064.
    • (1994) J. Atmos. Sci. , vol.51 , pp. 1057-1064
    • Boyd, J.P.1
  • 9
    • 0000025724 scopus 로고
    • On the geometry of an atmospheric slow manifold
    • Camassa, R., 1995: On the geometry of an atmospheric slow manifold. Physica D, 84, 357-397.
    • (1995) Physica D , vol.84 , pp. 357-397
    • Camassa, R.1
  • 10
    • 0002049276 scopus 로고
    • On the scale of atmospheric motions
    • Charney, J. G., 1948: On the scale of atmospheric motions. Geofys. Publik., 17, 251-265.
    • (1948) Geofys. Publik. , vol.17 , pp. 251-265
    • Charney, J.G.1
  • 11
    • 0006214016 scopus 로고
    • On a physical basis for numerical prediction of large-scale motions in the atmosphere
    • _, 1949: On a physical basis for numerical prediction of large-scale motions in the atmosphere. J. Meteor., 6, 371-385.
    • (1949) J. Meteor. , vol.6 , pp. 371-385
  • 12
    • 0002595143 scopus 로고
    • The use of the primitive equations of motion in numerical prediction
    • _, 1955: The use of the primitive equations of motion in numerical prediction. Tellus, 7, 22-26.
    • (1955) Tellus , vol.7 , pp. 22-26
  • 13
    • 0001103747 scopus 로고
    • A note on large-scale motion in the tropics
    • _, 1963: A note on large-scale motion in the tropics. J. Atmos. Sci., 20, 607-609.
    • (1963) J. Atmos. Sci. , vol.20 , pp. 607-609
  • 15
    • 0000279894 scopus 로고
    • Calculations of periodic trajectories for the Hénon-Heiles Hamiltonian using the monodromy method
    • Davies, K. T. R., T. E. Huston, and M. Baranger, 1992: Calculations of periodic trajectories for the Hénon-Heiles Hamiltonian using the monodromy method. Chaos, 2, 215-230.
    • (1992) Chaos , vol.2 , pp. 215-230
    • Davies, K.T.R.1    Huston, T.E.2    Baranger, M.3
  • 16
    • 0000115661 scopus 로고
    • Generalized Hamiltonian dynamics
    • Dirac, P. A. M., 1950: Generalized Hamiltonian dynamics. Can. J. Math, 2, 129-148.
    • (1950) Can. J. Math , vol.2 , pp. 129-148
    • Dirac, P.A.M.1
  • 17
    • 0000009882 scopus 로고
    • Generalized Hamiltonian dynamics
    • _, 1958: Generalized Hamiltonian dynamics. Proc. Roy. Soc. London, Ser. A, 246, 326-332.
    • (1958) Proc. Roy. Soc. London, Ser. A , vol.246 , pp. 326-332
  • 18
    • 0003425766 scopus 로고
    • Belfer Graduate School of Science, Yeshiva University
    • _, 1964: Lectures on quantum mechanics. Belfer Graduate School of Science, Yeshiva University, 87 pp.
    • (1964) Lectures on Quantum Mechanics
  • 19
    • 0020411940 scopus 로고
    • Normal mode initialization and the generation of gravity waves by quasi-geostrophic forcing
    • Errico, R. M., 1982: Normal mode initialization and the generation of gravity waves by quasi-geostrophic forcing. J. Atmos. Sci., 39, 573-586.
    • (1982) J. Atmos. Sci. , vol.39 , pp. 573-586
    • Errico, R.M.1
  • 20
    • 0021579820 scopus 로고
    • The statistical equilibrium solution of a primitive-equations model
    • _, 1984: The statistical equilibrium solution of a primitive-equations model. Tellus, 36A, 42-51.
    • (1984) Tellus , vol.36 A , pp. 42-51
  • 22
    • 0026304176 scopus 로고
    • Existence of a slow manifold in a model system of equations
    • Jacobs, S. J., 1991: Existence of a slow manifold in a model system of equations. J. Atmos. Sci., 48, 893-901.
    • (1991) J. Atmos. Sci. , vol.48 , pp. 893-901
    • Jacobs, S.J.1
  • 23
    • 0021785801 scopus 로고
    • Invariant manifolds and the initialization problem for some atmospheric equations
    • Kopell, N., 1985: Invariant manifolds and the initialization problem for some atmospheric equations. Physica D, 14, 203-215.
    • (1985) Physica D , vol.14 , pp. 203-215
    • Kopell, N.1
  • 24
    • 0000995046 scopus 로고
    • Problems with different time scales for ordinary differential equations
    • Kreiss, H.-O., 1979: Problems with different time scales for ordinary differential equations. SIAM J. Numer. Anal., 16, 980-998.
    • (1979) SIAM J. Numer. Anal. , vol.16 , pp. 980-998
    • Kreiss, H.-O.1
  • 25
    • 84980143584 scopus 로고
    • Problems with different time scales for partial differential equations
    • _, 1980: Problems with different time scales for partial differential equations. Comm. Pure Appl. Math., 33, 399-439.
    • (1980) Comm. Pure Appl. Math. , vol.33 , pp. 399-439
  • 26
    • 0000319713 scopus 로고
    • Nonlinear normal mode initialization and quasi-geostrophic theory
    • Leith, C. E., 1980: Nonlinear normal mode initialization and quasi-geostrophic theory. J. Atmos. Sci., 37, 958-968.
    • (1980) J. Atmos. Sci. , vol.37 , pp. 958-968
    • Leith, C.E.1
  • 28
    • 0000054379 scopus 로고
    • Attractor sets and quasi-geostrophic equilibrium
    • Lorenz, E. N., 1980: Attractor sets and quasi-geostrophic equilibrium. J. Atmos. Sci., 37, 1685-1699.
    • (1980) J. Atmos. Sci. , vol.37 , pp. 1685-1699
    • Lorenz, E.N.1
  • 29
    • 0001296190 scopus 로고
    • On the existence of a slow manifold
    • _, 1986: On the existence of a slow manifold. J. Atmos. Sci., 43, 1547-1557.
    • (1986) J. Atmos. Sci. , vol.43 , pp. 1547-1557
  • 30
    • 0027061705 scopus 로고
    • The slow manifold - What is it?
    • _, 1992: The slow manifold - What is it? J. Atmos. Sci., 49, 2449-2451.
    • (1992) J. Atmos. Sci. , vol.49 , pp. 2449-2451
  • 31
    • 0001511231 scopus 로고
    • On the nonexistence of a slow manifold
    • _, and V. Krishnamurthy, 1987: On the nonexistence of a slow manifold. J. Atmos. Sci., 44, 2940-2950.
    • (1987) J. Atmos. Sci. , vol.44 , pp. 2940-2950
    • Krishnamurthy, V.1
  • 32
    • 0000620066 scopus 로고
    • On the dynamics of gravity oscillations in a shallow water model, with application to normal mode initialization
    • Machenhauer, B., 1977: On the dynamics of gravity oscillations in a shallow water model, with application to normal mode initialization. Beitr. Phys. Atmos., 50, 253-271.
    • (1977) Beitr. Phys. Atmos. , vol.50 , pp. 253-271
    • Machenhauer, B.1
  • 33
    • 0002457632 scopus 로고
    • Numerical weather prediction: An updated vision of the future
    • S. Grønås and M. Shapiro, Eds., University of Bergen
    • McIntyre, M. E., 1994: Numerical weather prediction: An updated vision of the future. The Life Cycles of Extra tropical Cyclones, Vol. 1, S. Grønås and M. Shapiro, Eds., University of Bergen, 275-286.
    • (1994) The Life Cycles of Extra Tropical Cyclones , vol.1 , pp. 275-286
    • McIntyre, M.E.1
  • 34
    • 34249759431 scopus 로고
    • Superexponential stability of KAM tori
    • Morbidelli, A., and A. Giorgilli, 1995: Superexponential stability of KAM tori. J. Stat. Phys., 78, 1607-1617.
    • (1995) J. Stat. Phys. , vol.78 , pp. 1607-1617
    • Morbidelli, A.1    Giorgilli, A.2
  • 35
    • 84908024292 scopus 로고
    • An exponential estimate of the time of stability of nearly-integrable Hamiltonian systems
    • Nekhoroshev, N. N., 1977: An exponential estimate of the time of stability of nearly-integrable Hamiltonian systems. Russ. Math. Surv., 32, 1-65.
    • (1977) Russ. Math. Surv. , vol.32 , pp. 1-65
    • Nekhoroshev, N.N.1
  • 36
    • 0016494621 scopus 로고
    • The dynamics of finite-difference models of the shallow-water equations
    • Sadourny, R., 1975: The dynamics of finite-difference models of the shallow-water equations. J. Atmos. Sci., 32, 680-689.
    • (1975) J. Atmos. Sci. , vol.32 , pp. 680-689
    • Sadourny, R.1
  • 37
    • 0000024344 scopus 로고
    • Symmetries, conservation laws, and Hamiltonian structure in geophysical fluid dynamics
    • Academic Press
    • Shepherd, T. G., 1990: Symmetries, conservation laws, and Hamiltonian structure in geophysical fluid dynamics. Advances Geophysics, Vol. 32, Academic Press, 287-338.
    • (1990) Advances Geophysics , vol.32 , pp. 287-338
    • Shepherd, T.G.1
  • 38
    • 84963224037 scopus 로고
    • Rotational and gravitational influences on the degree of balance in the shallow-water equations
    • Spall, M. A., and J. C. McWilliams, 1992: Rotational and gravitational influences on the degree of balance in the shallow-water equations. Geophys. Astrophys. Fluid Dyn., 64, 1-29.
    • (1992) Geophys. Astrophys. Fluid Dyn. , vol.64 , pp. 1-29
    • Spall, M.A.1    McWilliams, J.C.2
  • 40
    • 0002157780 scopus 로고
    • Elimination of fast variables
    • van Kampen, N. G., 1985: Elimination of fast variables. Phys. Rep., 124, 69-160.
    • (1985) Phys. Rep. , vol.124 , pp. 69-160
    • Van Kampen, N.G.1
  • 41
    • 0001382046 scopus 로고
    • Invariant manifolds, quasi-geostrophy and initialization
    • Vautard, R., and B. Legras, 1986: Invariant manifolds, quasi-geostrophy and initialization. J. Atmos. Sci., 43, 565-584.
    • (1986) J. Atmos. Sci. , vol.43 , pp. 565-584
    • Vautard, R.1    Legras, B.2
  • 42
    • 0022849439 scopus 로고
    • The statistical mechanical equilibria of the shallow water equations
    • Warn, T., 1986: The statistical mechanical equilibria of the shallow water equations. Tellus, 38A, 1-11.
    • (1986) Tellus , vol.38 A , pp. 1-11
    • Warn, T.1
  • 43
    • 0022849526 scopus 로고
    • Nonlinear balance and gravity-inertial wave saturation in a simple atmospheric model
    • _, and R. Menard, 1986: Nonlinear balance and gravity-inertial wave saturation in a simple atmospheric model. Tellus, 38A, 285-294.
    • (1986) Tellus , vol.38 A , pp. 285-294
    • Menard, R.1
  • 44
    • 0028975179 scopus 로고
    • Rossby-number expansions, slaving principles, and balance dynamics
    • _, O. Bokhove, T. G. Shepherd, and G. K. Vallis, 1995: Rossby-number expansions, slaving principles, and balance dynamics. Quart. J. Roy. Meteor. Soc., 121, 723-739.
    • (1995) Quart. J. Roy. Meteor. Soc. , vol.121 , pp. 723-739
    • Bokhove, O.1    Shepherd, T.G.2    Vallis, G.K.3
  • 45
    • 0001005075 scopus 로고
    • Construction of higher order symplectic integrators
    • Yoshida, H., 1990: Construction of higher order symplectic integrators. Phys. Lett. A, 150, 262-268.
    • (1990) Phys. Lett. A , vol.150 , pp. 262-268
    • Yoshida, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.