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Volumn 137, Issue 2, 1999, Pages 565-579

Detectability of deterministic non-linear processes in Earth rotation time-series-II. Dynamics

Author keywords

Earth rotation; El Nino; Lyapunov exponents; Non linear analysis; Stability

Indexed keywords

EARTH ROTATION; EL NINO-SOUTHERN OSCILLATION; NONLINEARITY;

EID: 0033049892     PISSN: 0956540X     EISSN: None     Source Type: Journal    
DOI: 10.1046/j.1365-246X.1999.00822.x     Document Type: Article
Times cited : (7)

References (43)
  • 2
    • 0001576305 scopus 로고
    • Local false nearest neighbors and dynamical dimensions from observed chaotic data
    • Abarbanel, H.D.I. & Kennel, M.B., 1993. Local false nearest neighbors and dynamical dimensions from observed chaotic data, Phys. Rev. E, 47, 3057-3068.
    • (1993) Phys. Rev. E , vol.47 , pp. 3057-3068
    • Abarbanel, H.D.I.1    Kennel, M.B.2
  • 3
    • 0000339204 scopus 로고
    • Variation of Lyapunov exponents on a strange attractor
    • Abarbanel, H.D.I., Brown, R. & Kennel, M.B., 1991. Variation of Lyapunov exponents on a strange attractor, J. Nonlinear Sci., 1, 175-199.
    • (1991) J. Nonlinear Sci. , vol.1 , pp. 175-199
    • Abarbanel, H.D.I.1    Brown, R.2    Kennel, M.B.3
  • 4
    • 35949009462 scopus 로고
    • Computing the Lyapunov spectrum of a dynamical system from an observed time series
    • Brown, R., Bryant, P. & Abarbanel, H.D.I., 1991. Computing the Lyapunov spectrum of a dynamical system from an observed time series, Phys. Rev. A. 43, 2787-2806.
    • (1991) Phys. Rev. A. , vol.43 , pp. 2787-2806
    • Brown, R.1    Bryant, P.2    Abarbanel, H.D.I.3
  • 5
    • 0000249427 scopus 로고
    • Lyapunov exponents from observed time series
    • Bryant, P., Brown, R. & Abarbanel, H.D.I., 1990. Lyapunov exponents from observed time series, Phys. Rev. Lett., 65, 1523-1526.
    • (1990) Phys. Rev. Lett. , vol.65 , pp. 1523-1526
    • Bryant, P.1    Brown, R.2    Abarbanel, H.D.I.3
  • 6
    • 37049181262 scopus 로고
    • Length of day variations caused by El Niño -southern oscillation and quasi-biennal oscillation
    • Chao, B.F., 1989. Length of day variations caused by El Niño -southern oscillation and quasi-biennal oscillation, Science, 243, 923-925.
    • (1989) Science , vol.243 , pp. 923-925
    • Chao, B.F.1
  • 7
    • 84986409111 scopus 로고
    • Changes in the Earth's rotation and low degree gravitational field induced by earthquakes
    • Chao, B.F. & Gross, R.S., 1987. Changes in the Earth's rotation and low degree gravitational field induced by earthquakes, Geophys. J. R. astr. Soc., 91, 569-596.
    • (1987) Geophys. J. R. Astr. Soc. , vol.91 , pp. 569-596
    • Chao, B.F.1    Gross, R.S.2
  • 8
    • 0028573463 scopus 로고
    • Angular momentum exchange among the solid Earth, atmosphere and ocean: A case study of the 1982-1983 El Niño event
    • Dickey, J.O., Marcus, S.L., Hide, R., Eubanks, T.M. & Boggs, D.H., 1994. Angular momentum exchange among the solid Earth, atmosphere and ocean: a case study of the 1982-1983 El Niño event, J. geophys. Res., 99(B12), 23921-23937.
    • (1994) J. Geophys. Res. , vol.99 , Issue.B12 , pp. 23921-23937
    • Dickey, J.O.1    Marcus, S.L.2    Hide, R.3    Eubanks, T.M.4    Boggs, D.H.5
  • 9
    • 0000674556 scopus 로고
    • Evolution of attractors in quasiperiodically forced systems: From quasiperiodic to strange nonchaotic to chaotic
    • Ding, M., Grebogi, C. & Ott, E., 1989. Evolution of attractors in quasiperiodically forced systems: from quasiperiodic to strange nonchaotic to chaotic, Phys. Rev. A, 39, 2593-2598.
    • (1989) Phys. Rev. A , vol.39 , pp. 2593-2598
    • Ding, M.1    Grebogi, C.2    Ott, E.3
  • 10
    • 35949018382 scopus 로고
    • Ergodic theory of chaos and strange attractors
    • Eckmann, J.P. & Ruelle, D., 1985. Ergodic theory of chaos and strange attractors, Rev. Mod. Phys., 57, 617-656.
    • (1985) Rev. Mod. Phys. , vol.57 , pp. 617-656
    • Eckmann, J.P.1    Ruelle, D.2
  • 11
    • 44049117207 scopus 로고
    • Fundamental limitations for estimating dimensions and Lyapunov exponents in dynamical systems
    • Eckmann, J.P. & Ruelle, D., 1992. Fundamental limitations for estimating dimensions and Lyapunov exponents in dynamical systems, Physica D, 56, 185-187.
    • (1992) Physica D , vol.56 , pp. 185-187
    • Eckmann, J.P.1    Ruelle, D.2
  • 13
    • 0031753468 scopus 로고    scopus 로고
    • Global teleseismic earthquake relocation with improved travel times and procedures for depth determinations
    • submitted
    • Engdahl, E.R., Van der Hilst, R. & Buland, R.P., 1998. Global teleseismic earthquake relocation with improved travel times and procedures for depth determinations, Bull. seism. Soc. Am., submitted.
    • (1998) Bull. Seism. Soc. Am.
    • Engdahl, E.R.1    Van Der Hilst, R.2    Buland, R.P.3
  • 14
    • 0023486115 scopus 로고
    • The climate attractor over short timescales
    • Essex, C., Lookman, T. & Nerenberg, M.A.H., 1987. The climate attractor over short timescales, Nature, 326, 64-66.
    • (1987) Nature , vol.326 , pp. 64-66
    • Essex, C.1    Lookman, T.2    Nerenberg, M.A.H.3
  • 15
    • 0023485698 scopus 로고
    • Estimating weather and climate predictability on attractors
    • Fraedrich, K., 1987. Estimating weather and climate predictability on attractors, J. atmos. Sci., 44, 722-728.
    • (1987) J. Atmos. Sci. , vol.44 , pp. 722-728
    • Fraedrich, K.1
  • 16
    • 34548696055 scopus 로고
    • Independent coordinates for strange attractors from mutual information
    • Fraser, A.M. & Swinney, H.L., 1986. Independent coordinates for strange attractors from mutual information, Phys. Rev. A, 33, 1134-1140.
    • (1986) Phys. Rev. A , vol.33 , pp. 1134-1140
    • Fraser, A.M.1    Swinney, H.L.2
  • 17
    • 0032985179 scopus 로고    scopus 로고
    • Detectability of deterministic non-linear processes in Earth rotation time-series - I. Embedding
    • this issue
    • Frede, V. & Mazzega, P., 1999. Detectability of deterministic non-linear processes in Earth rotation time-series - I. Embedding, Geophys. J. Int., 137, 551-564 (this issue).
    • (1999) Geophys. J. Int. , vol.137 , pp. 551-564
    • Frede, V.1    Mazzega, P.2
  • 18
    • 0344616496 scopus 로고    scopus 로고
    • Multi-technique EOP combinaisons
    • eds Van Scoy, P. & Neylan, R.E., Pasadena, JPL Publ.
    • Gambis, D., 1996. Multi-technique EOP combinaisons, Proc. IGS Analysis Center Workshop, Silver Spring, Vol. 96, eds Van Scoy, P. & Neylan, R.E., Pasadena, JPL Publ.
    • (1996) Proc. IGS Analysis Center Workshop, Silver Spring , vol.96
    • Gambis, D.1
  • 20
    • 33646981873 scopus 로고
    • Characterization of strange attractors
    • Grassberger, P. & Procaccia, I., 1983. Characterization of strange attractors, Phys. Rev. Lett., 50, 346-349.
    • (1983) Phys. Rev. Lett. , vol.50 , pp. 346-349
    • Grassberger, P.1    Procaccia, I.2
  • 21
    • 0028255253 scopus 로고
    • El Niño on the Devil's staircase: Annual subharmonic steps to chaos
    • Jin, F.F., Neelin, J.D. & Ghil, M., 1994. El Niño on the Devil's staircase: annual subharmonic steps to chaos, Science, 264, 70-72.
    • (1994) Science , vol.264 , pp. 70-72
    • Jin, F.F.1    Neelin, J.D.2    Ghil, M.3
  • 22
    • 0001640825 scopus 로고
    • Chaotic behaviour in multidimensional difference equations
    • Springer, Berlin
    • Kaplan, J.L. & Yorke, J.A., 1979. Chaotic behaviour in multidimensional difference equations, in Lecture Notes in Mathematics, Vol. 730, pp. 228-237, Springer, Berlin.
    • (1979) Lecture Notes in Mathematics , vol.730 , pp. 228-237
    • Kaplan, J.L.1    Yorke, J.A.2
  • 24
    • 0021639689 scopus 로고
    • Is there a climatic attractor?
    • Nicolis, C. & Nicolis, G., 1984. Is there a climatic attractor?, Nature, 311, 529-532.
    • (1984) Nature , vol.311 , pp. 529-532
    • Nicolis, C.1    Nicolis, G.2
  • 25
    • 5544310124 scopus 로고
    • Finite correlation dimension for stochastic systems with power-law spectra
    • Osborne, A.R. & Provenzale, P., 1989. Finite correlation dimension for stochastic systems with power-law spectra. Physica D, 35, 357-381.
    • (1989) Physica D , vol.35 , pp. 357-381
    • Osborne, A.R.1    Provenzale, P.2
  • 26
    • 0027789670 scopus 로고
    • Extended-range atmospheric prediction and the Lorenz model
    • Palmer, T.N., 1993. Extended-range atmospheric prediction and the Lorenz model, Bull. Am. Met. Soc., 74, 49-65.
    • (1993) Bull. Am. Met. Soc. , vol.74 , pp. 49-65
    • Palmer, T.N.1
  • 28
    • 0039728471 scopus 로고
    • Is there a strange attractor in the magnetosphere?
    • Roberts, D.A., 1991. Is there a strange attractor in the magnetosphere?, J. geophys. Res., 96(A9), 16031-16046.
    • (1991) J. Geophys. Res. , vol.96 , Issue.A9 , pp. 16031-16046
    • Roberts, D.A.1
  • 29
    • 0021538141 scopus 로고
    • An El Niño signal in atmospheric angular momentum and Earth rotation
    • Rosen, R.D., Salstein, D.A., Eubanks, T.M., Dickey, J.O. & Steppe, J.A., 1984. An El Niño signal in atmospheric angular momentum and Earth rotation, Science, 225, 411-414.
    • (1984) Science , vol.225 , pp. 411-414
    • Rosen, R.D.1    Salstein, D.A.2    Eubanks, T.M.3    Dickey, J.O.4    Steppe, J.A.5
  • 30
    • 0001285133 scopus 로고
    • Deterministic chaos: The science and the fiction, Proc
    • Ruelle, D., 1990. Deterministic chaos: the science and the fiction, Proc. R. Soc. Lond., A427, 241-248.
    • (1990) R. Soc. Lond. , vol.A427 , pp. 241-248
    • Ruelle, D.1
  • 32
    • 0001201803 scopus 로고
    • A physical system with qualitatively uncertain dynamics
    • Sommerer, J.C. & Ott, E., 1993. A physical system with qualitatively uncertain dynamics, Nature, 365, 138-140.
    • (1993) Nature , vol.365 , pp. 138-140
    • Sommerer, J.C.1    Ott, E.2
  • 33
    • 0000779360 scopus 로고
    • Detecting strange attractors in turbulence
    • Dynamical Systems and Turbulence, eds Rand, D. & Young, L.S., Springer Verlag, Berlin
    • Takens, F., 1981. Detecting strange attractors in turbulence, in Dynamical Systems and Turbulence, pp. 366-381, eds Rand, D. & Young, L.S., Lecture Notes in Mathematics 898, Springer Verlag, Berlin.
    • (1981) Lecture Notes in Mathematics , vol.898 , pp. 366-381
    • Takens, F.1
  • 34
    • 4243311443 scopus 로고    scopus 로고
    • Lyapunov exponents of random time series
    • Tanaka, T., Aihara, K. & Taki, M., 1996. Lyapunov exponents of random time series, Phys. Rev. E, 54, 2122-2124.
    • (1996) Phys. Rev. E , vol.54 , pp. 2122-2124
    • Tanaka, T.1    Aihara, K.2    Taki, M.3
  • 35
    • 0001413326 scopus 로고
    • Spurious dimension from correlation algorithms applied to limited time-series data
    • Theiler, J., 1986. Spurious dimension from correlation algorithms applied to limited time-series data, Phys. Rev. A, 34, 2427-2432.
    • (1986) Phys. Rev. A , vol.34 , pp. 2427-2432
    • Theiler, J.1
  • 37
    • 85005470359 scopus 로고
    • Attractor dimensions in non-linear fluctuations of length of the day (LOD) variations
    • Tiwari, R.K., Negi, J.G. & Rao, K.N.N., 1992. Attractor dimensions in non-linear fluctuations of length of the day (LOD) variations, Geophys. Res. Lett., 19, 909-912.
    • (1992) Geophys. Res. Lett. , vol.19 , pp. 909-912
    • Tiwari, R.K.1    Negi, J.G.2    Rao, K.N.N.3
  • 38
    • 0004369113 scopus 로고
    • Strange attractor in nonlinear fluctuations of length of the day (LOD) time series
    • Nonlinear Dynamics and Predictability of Geophysical Phenomena, IUGG
    • Tiwari, R.K., Negi, J.G. & Rao, K.N.N., 1994. Strange attractor in nonlinear fluctuations of length of the day (LOD) time series, in Nonlinear Dynamics and Predictability of Geophysical Phenomena, Geophys. Monogr., 83, IUGG Vol. 18, pp. 61-67.
    • (1994) Geophys. Monogr. , vol.18-83 , pp. 61-67
    • Tiwari, R.K.1    Negi, J.G.2    Rao, K.N.N.3
  • 39
    • 0024218570 scopus 로고
    • The weather attractor over very short timescales
    • Tsonis, A.A. & Elsner, J.B., 1988. The weather attractor over very short timescales, Nature, 333, 545-547.
    • (1988) Nature , vol.333 , pp. 545-547
    • Tsonis, A.A.1    Elsner, J.B.2
  • 41
    • 0028184125 scopus 로고
    • El Niño chaos: Overlapping of resonances between the seasonal cycle and the Pacific ocean-atmosphere oscillator
    • Tziperman, E., Stone, L., Cane, M.A. & Jarosh, H., 1994. El Niño chaos: overlapping of resonances between the seasonal cycle and the Pacific ocean-atmosphere oscillator, Science, 264, 72-74.
    • (1994) Science , vol.264 , pp. 72-74
    • Tziperman, E.1    Stone, L.2    Cane, M.A.3    Jarosh, H.4
  • 42
    • 0028869202 scopus 로고
    • Irregularity and locking to the seasonal cycle in an ENSO prediction model as explained by the quasi-periodicity route to chaos
    • Tziperman, E., Cane, M.A. & Zebiak, S.E., 1995. Irregularity and locking to the seasonal cycle in an ENSO prediction model as explained by the quasi-periodicity route to chaos, J. atmos. Sci., 52, 293-306.
    • (1995) J. Atmos. Sci. , vol.52 , pp. 293-306
    • Tziperman, E.1    Cane, M.A.2    Zebiak, S.E.3
  • 43
    • 0002367246 scopus 로고
    • El Niño: A chaotic dynamical system?
    • Vallis, G.K., 1986. El Niño: a chaotic dynamical system?, Science, 232, 243-245.
    • (1986) Science , vol.232 , pp. 243-245
    • Vallis, G.K.1


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