메뉴 건너뛰기




Volumn 13, Issue 3, 1998, Pages 219-236

Phase-space prediction of chaotic time series

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CHAOS THEORY; ERROR ANALYSIS; LYAPUNOV METHODS; MATHEMATICAL TRANSFORMATIONS; PARAMETER ESTIMATION; PHASE SPACE METHODS; REGRESSION ANALYSIS; SAMPLING;

EID: 0032162448     PISSN: 02681110     EISSN: None     Source Type: Journal    
DOI: 10.1080/02681119808806262     Document Type: Article
Times cited : (2)

References (35)
  • 1
    • 0006846310 scopus 로고
    • Prediction and system identification in chaotic nonlinear systems: Time series with broadband spectra
    • Abarbanel, H. D. I., Brown, R. and Kadtke, J. B. (1989) Prediction and system identification in chaotic nonlinear systems: Time series with broadband spectra. Physical Letters A 138, 401-408.
    • (1989) Physical Letters A , vol.138 , pp. 401-408
    • Abarbanel, H.D.I.1    Brown, R.2    Kadtke, J.B.3
  • 2
    • 35949012282 scopus 로고
    • Prediction in chaotic nonlinear systems: Methods for time series with broadband Fourier spectra
    • Abarbanel, H. D. I., Brown, R. and Kadtke, J. B. (1990) Prediction in chaotic nonlinear systems: Methods for time series with broadband Fourier spectra. Physical Review A 41, 1782-1807.
    • (1990) Physical Review A , vol.41 , pp. 1782-1807
    • Abarbanel, H.D.I.1    Brown, R.2    Kadtke, J.B.3
  • 3
    • 34249988665 scopus 로고
    • Extracting qualitative dynamics from experimental data
    • Broomhead, D. S. and King, G. P. (1986) Extracting qualitative dynamics from experimental data. Physica D 20, 217-236.
    • (1986) Physica D , vol.20 , pp. 217-236
    • Broomhead, D.S.1    King, G.P.2
  • 4
    • 45149144372 scopus 로고
    • Nonlinear prediction of chaotic time series
    • Casdagli, M. (1989) Nonlinear prediction of chaotic time series. Physica D 35, 335-356.
    • (1989) Physica D , vol.35 , pp. 335-356
    • Casdagli, M.1
  • 5
    • 44949273552 scopus 로고
    • State space reconstruction in the presence of noise
    • Casdagli, M., Eubank, S., Farmer, J. D. and Gibson, J. (1991) State space reconstruction in the presence of noise. Physica D 51, 52-98.
    • (1991) Physica D , vol.51 , pp. 52-98
    • Casdagli, M.1    Eubank, S.2    Farmer, J.D.3    Gibson, J.4
  • 6
    • 84947318637 scopus 로고
    • Locally weighted regression: An approach to regression analysis by local fitting
    • Cleveland, W. S. and Devlin, S. J. (1988) Locally weighted regression: An approach to regression analysis by local fitting. Journal of the American Statistical Association 83, 596-610.
    • (1988) Journal of the American Statistical Association , vol.83 , pp. 596-610
    • Cleveland, W.S.1    Devlin, S.J.2
  • 8
    • 35949018382 scopus 로고
    • Ergodic theory of chaos and strange attractors
    • Eckmann, J.-P. and Ruelle, D. (1985) Ergodic theory of chaos and strange attractors. Review of Modern Physics 57, 617-656.
    • (1985) Review of Modern Physics , vol.57 , pp. 617-656
    • Eckmann, J.-P.1    Ruelle, D.2
  • 10
    • 0002635074 scopus 로고
    • Exploiting chaos to predict the future and reduce noise
    • ed. Y. C. Lee; World Scientific, Singapore
    • Farmer, J. D. and Sidorowich, J. (1988) Exploiting chaos to predict the future and reduce noise. Evolution, Learning and Cognition (ed. Y. C. Lee; World Scientific, Singapore), pp. 277-330.
    • (1988) Evolution, Learning and Cognition , pp. 277-330
    • Farmer, J.D.1    Sidorowich, J.2
  • 12
    • 0001727086 scopus 로고
    • Functional reconstruction and local prediction of chaotic time series
    • Giona, M., Lentini, F. and Cimagalli, V. (1991) Functional reconstruction and local prediction of chaotic time series. Physical Review A 44, 3496-3502.
    • (1991) Physical Review A , vol.44 , pp. 3496-3502
    • Giona, M.1    Lentini, F.2    Cimagalli, V.3
  • 15
    • 0000399750 scopus 로고
    • Dimensions and entropies of chaotic intensity pulsations in a single-mode far-infrared NH, laser
    • Hübner, U., Abraham, N. B. and Weiss, C. O. (1989) Dimensions and entropies of chaotic intensity pulsations in a single-mode far-infrared NH, laser. Physical Review A 40, 6354-6365.
    • (1989) Physical Review A , vol.40 , pp. 6354-6365
    • Hübner, U.1    Abraham, N.B.2    Weiss, C.O.3
  • 16
    • 0000182216 scopus 로고
    • Forecasting on chaotic time series: A local optimal linear-reconstruction method
    • Jiménez, J., Moreno, J. A. and Ruggeri, G. J. (1992) Forecasting on chaotic time series: A local optimal linear-reconstruction method. Physical Review A 45, 3553-3558.
    • (1992) Physical Review A , vol.45 , pp. 3553-3558
    • Jiménez, J.1    Moreno, J.A.2    Ruggeri, G.J.3
  • 17
    • 1842365946 scopus 로고
    • Noise reduction by local reconstruction of the dynamics
    • eds A. S. Weigend and N. A. Gershenfeld; Addison-Wesley, Reading, Massachusetts
    • Kantz, H. (1994) Noise reduction by local reconstruction of the dynamics. Time Series Prediction: Forecasting the Future and Understanding the Past (eds A. S. Weigend and N. A. Gershenfeld; Addison-Wesley, Reading, Massachusetts), pp. 475-490.
    • (1994) Time Series Prediction: Forecasting the Future and Understanding the Past , pp. 475-490
    • Kantz, H.1
  • 18
    • 35949006791 scopus 로고
    • Determining embedding dimension for phase space reconstruction using a geometrical construction
    • Kennel, M. B., Brown, R. and Abarbanel, H. D. I. (1992) Determining embedding dimension for phase space reconstruction using a geometrical construction. Physical Review A 45, 3403-3411.
    • (1992) Physical Review A , vol.45 , pp. 3403-3411
    • Kennel, M.B.1    Brown, R.2    Abarbanel, H.D.I.3
  • 19
    • 0001399870 scopus 로고
    • An efficient method of forecasting chaotic time series
    • Linsay, P. S. (1991) An efficient method of forecasting chaotic time series. Physical Letters A 153, 353-356.
    • (1991) Physical Letters A , vol.153 , pp. 353-356
    • Linsay, P.S.1
  • 20
    • 20344383594 scopus 로고
    • Forecasting a chaotic time series using an improved metric for embedding space
    • Murray, D. B. (1993) Forecasting a chaotic time series using an improved metric for embedding space. Physica D 68, 318-325.
    • (1993) Physica D , vol.68 , pp. 318-325
    • Murray, D.B.1
  • 21
    • 36149028387 scopus 로고
    • Forecasting chaos from small data sets: A comparison of different nonlinear algorithms
    • Navone, H. D. and Ceccatto, H. A. (1995) Forecasting chaos from small data sets: a comparison of different nonlinear algorithms. Journal of Physics A: Mathematical and General 28, 3381-3388.
    • (1995) Journal of Physics A: Mathematical and General , vol.28 , pp. 3381-3388
    • Navone, H.D.1    Ceccatto, H.A.2
  • 23
    • 0001762008 scopus 로고    scopus 로고
    • Distortions of reconstruction for chaotic attractors
    • Potapov, A. (1997) Distortions of reconstruction for chaotic attractors. Physica D 101, 207-226.
    • (1997) Physica D , vol.101 , pp. 207-226
    • Potapov, A.1
  • 25
    • 0001394076 scopus 로고
    • Measurement of the Lyapunov spectrum from a chaotic time series
    • Sano, M. and Sawada, Y. (1985) Measurement of the Lyapunov spectrum from a chaotic time series. Physical Review Letters 55, 1082-1085.
    • (1985) Physical Review Letters , vol.55 , pp. 1082-1085
    • Sano, M.1    Sawada, Y.2
  • 27
    • 0000497094 scopus 로고
    • Time series prediction by using delay coordinate embedding
    • eds A. S. Weigend and N. A. Gershenfeld; Addison-Wesley, Reading, Massachusetts
    • Sauer, T. (1994) Time series prediction by using delay coordinate embedding. Time Series Prediction: Forecasting the Future and Understanding the Past (eds A. S. Weigend and N. A. Gershenfeld; Addison-Wesley, Reading, Massachusetts), pp. 175-193.
    • (1994) Time Series Prediction: Forecasting the Future and Understanding the Past , pp. 175-193
    • Sauer, T.1
  • 29
    • 0025199496 scopus 로고
    • Nonlinear forecasting as a way of distinguishing chaos from measurement error in time series
    • Sugihara, G. and May, R. M. (1990) Nonlinear forecasting as a way of distinguishing chaos from measurement error in time series. Nature 344, 234-240.
    • (1990) Nature , vol.344 , pp. 234-240
    • Sugihara, G.1    May, R.M.2
  • 30
    • 0031100934 scopus 로고    scopus 로고
    • Forecasting chaotic time series with genetic algorithms
    • Szpiro, G. G. (1997) Forecasting chaotic time series with genetic algorithms. Physical Review E 55, 2557-2568.
    • (1997) Physical Review E , vol.55 , pp. 2557-2568
    • Szpiro, G.G.1
  • 31
    • 0000779360 scopus 로고
    • Detecting strange attractors in turbulence
    • Springer, Berlin
    • Takens, F. (1981) Detecting strange attractors in turbulence. Lecture Notes in Mathematics (Springer, Berlin), vol. 898, pp. 366-381.
    • (1981) Lecture Notes in Mathematics , vol.898 , pp. 366-381
    • Takens, F.1
  • 35
    • 0008494528 scopus 로고
    • Determining Lyapunov exponents from a time series
    • Wolf, A., Swift, J. B., Swinney, H. L. and Vastano, J. A. (1985) Determining Lyapunov exponents from a time series. Physica D 16, 285-317.
    • (1985) Physica D , vol.16 , pp. 285-317
    • Wolf, A.1    Swift, J.B.2    Swinney, H.L.3    Vastano, J.A.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.