메뉴 건너뛰기




Volumn 92, Issue 1-2, 1996, Pages 28-60

The reduction of complex dynamical systems using principal interaction patterns

Author keywords

Galerkin methods; Geophysical flow; Low dimensional dynamics; Numerical optimization; Ordinary and partial differential equations; Pattern identification; Variational principle

Indexed keywords


EID: 0002532992     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/0167-2789(95)00280-4     Document Type: Article
Times cited : (84)

References (28)
  • 1
    • 0024703130 scopus 로고
    • Chaotic dynamics of coherent structures
    • L. Sirovich, Chaotic dynamics of coherent structures, Physica D 37 (1989) 126-145.
    • (1989) Physica D , vol.37 , pp. 126-145
    • Sirovich, L.1
  • 2
    • 0000246863 scopus 로고
    • Turbulence and the dynamics of coherent structures, Parts I-III
    • L. Sirovich, Turbulence and the dynamics of coherent structures, Parts I-III, Q. Appl. Math. XLV (1987) 561.
    • (1987) Q. Appl. Math. , vol.45 , pp. 561
    • Sirovich, L.1
  • 3
    • 0001182214 scopus 로고
    • Optimal low-dimensional dynamical approximations
    • L. Sirovich, B.W. Knight and J.D. Rodriguez, Optimal low-dimensional dynamical approximations, Q. Appl. Math. XLVIII (1990) 535.
    • (1990) Q. Appl. Math. , vol.48 , pp. 535
    • Sirovich, L.1    Knight, B.W.2    Rodriguez, J.D.3
  • 4
    • 0002367721 scopus 로고
    • Low-dimensional dynamics for the complex Ginzburg-Landau equation
    • J.D. Rodriguez and L. Sirovich, Low-dimensional dynamics for the complex Ginzburg-Landau equation, Physica D 43 (1990) 77-86.
    • (1990) Physica D , vol.43 , pp. 77-86
    • Rodriguez, J.D.1    Sirovich, L.2
  • 5
    • 84972308308 scopus 로고
    • The dynamics of coherent structures in the wall region of a turbulent boundary layer
    • N. Aubry, P. Holmes, J.L. Lumley and E. Stone, The dynamics of coherent structures in the wall region of a turbulent boundary layer, J. Fluid Mech. 192 (1988) 115-175.
    • (1988) J. Fluid Mech. , vol.192 , pp. 115-175
    • Aubry, N.1    Holmes, P.2    Lumley, J.L.3    Stone, E.4
  • 6
    • 0027789415 scopus 로고
    • Toward an optimal description of atmospheric flow
    • F.M. Selten, Toward an optimal description of atmospheric flow, J. Atmos. Sci. 50 (1993) 861-877.
    • (1993) J. Atmos. Sci. , vol.50 , pp. 861-877
    • Selten, F.M.1
  • 7
    • 0029412922 scopus 로고
    • An efficient description of the dynamics of barotropic flow
    • F.M. Selten, An efficient description of the dynamics of barotropic flow, J. Atmos. Sci. 52 (1995) 915-936.
    • (1995) J. Atmos. Sci. , vol.52 , pp. 915-936
    • Selten, F.M.1
  • 8
    • 0000926806 scopus 로고
    • Minimal dynamical systems from PDEs using Sobolev eigenfunctions
    • M. Kirby, Minimal dynamical systems from PDEs using Sobolev eigenfunctions, Physica D 57 (1992) 466-475.
    • (1992) Physica D , vol.57 , pp. 466-475
    • Kirby, M.1
  • 9
    • 5244272153 scopus 로고
    • Reconstruction of spatio-temporal signals of complex systems
    • C. Uhl, R. Friedrich and H. Haken, Reconstruction of spatio-temporal signals of complex systems, Z. Phys. B 92 (1993) 211-219.
    • (1993) Z. Phys. B , vol.92 , pp. 211-219
    • Uhl, C.1    Friedrich, R.2    Haken, H.3
  • 10
    • 0001324344 scopus 로고    scopus 로고
    • Analysis of spatio-temporal signals of complex systems
    • in press
    • C. Uhl, R. Friedrich and H. Haken, Analysis of spatio-temporal signals of complex systems, Phys. Rev. E, in press.
    • Phys. Rev. E
    • Uhl, C.1    Friedrich, R.2    Haken, H.3
  • 13
    • 22244443034 scopus 로고    scopus 로고
    • Principal interaction patterns in baroclinic wave life cycles
    • in press
    • U. Achatz, G. Schmitz and K.-M. Greisiger, Principal interaction patterns in baroclinic wave life cycles, J. Atmos. Sci., in press.
    • J. Atmos. Sci.
    • Achatz, U.1    Schmitz, G.2    Greisiger, K.-M.3
  • 14
    • 0024198837 scopus 로고
    • PIPs and POPs: The reduction of complex dynamical systems using principal interaction and oscillation patterns
    • K. Hasselmann, PIPs and POPs: the reduction of complex dynamical systems using principal interaction and oscillation patterns, J. Geophys. Res. 93 (1988) 11015-11021.
    • (1988) J. Geophys. Res. , vol.93 , pp. 11015-11021
    • Hasselmann, K.1
  • 19
    • 0014838683 scopus 로고
    • Transform method for calculation of vector-coupled sums: Application to the spectral form of the vorticity equation
    • S.A. Orszag, Transform method for calculation of vector-coupled sums: Application to the spectral form of the vorticity equation, J. Atmos. Sci. 27 (1970) 890-895.
    • (1970) J. Atmos. Sci. , vol.27 , pp. 890-895
    • Orszag, S.A.1
  • 21
    • 0000672504 scopus 로고
    • A Numerical Approach to Ergodic Problem of Dissipative Dynamical Systems
    • I. Shimada and T. Nagashima, A Numerical Approach to Ergodic Problem of Dissipative Dynamical Systems, Prog. Theor. Phys. 61 (1979) 1605.
    • (1979) Prog. Theor. Phys. , vol.61 , pp. 1605
    • Shimada, I.1    Nagashima, T.2
  • 23
    • 0001313431 scopus 로고
    • Sampling errors in the estimation of empirical orthogonal functions
    • G.R. North, T.L. Bell, R.F. Cahalan and F.J. Moeng, Sampling errors in the estimation of empirical orthogonal functions, Mon. Wea. Rev. 110 (1982) 699-706.
    • (1982) Mon. Wea. Rev. , vol.110 , pp. 699-706
    • North, G.R.1    Bell, T.L.2    Cahalan, R.F.3    Moeng, F.J.4
  • 28
    • 0001188364 scopus 로고
    • Conjugate-gradient methods for large-scale minimization in meteorology
    • I.M. Navon and D.M. Legler, Conjugate-gradient methods for large-scale minimization in meteorology, Mon. Wea. Rev. 115 (1987) 1479-1502.
    • (1987) Mon. Wea. Rev. , vol.115 , pp. 1479-1502
    • Navon, I.M.1    Legler, D.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.