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Volumn 19, Issue 5, 2004, Pages 1131-1139

Model based method for estimating an attractor dimension from uni/multivariate chaotic time series with application to Bremen climatic dynamics

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; COMPUTATIONAL METHODS; COMPUTER SIMULATION; LYAPUNOV METHODS; MATHEMATICAL MODELS; POLYNOMIALS; TIME SERIES ANALYSIS;

EID: 0141727699     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(03)00300-X     Document Type: Article
Times cited : (23)

References (20)
  • 2
    • 0000779360 scopus 로고
    • Detecting strange attractors in turbulence
    • RandD.A.YoungL.S. Berlin: Springer
    • Takens F. Detecting strange attractors in turbulence. Rand D.A., Young L.S. Lecture Notes in Mathematics. vol. 898:1981;366-381 Springer, Berlin.
    • (1981) Lecture Notes in Mathematics , vol.898 , pp. 366-381
    • Takens, F.1
  • 4
    • 40749093037 scopus 로고
    • Measuring the strangeness of strange attractors
    • Grassberger P., Procaccia I. Measuring the strangeness of strange attractors. Physica D. 9:1983;189-208.
    • (1983) Physica D , vol.9 , pp. 189-208
    • Grassberger, P.1    Procaccia, I.2
  • 5
    • 0037078145 scopus 로고    scopus 로고
    • A method of embedding dimension estimation based on symplectic geometry
    • Lei M., Wang Z., Feng Z. A method of embedding dimension estimation based on symplectic geometry. Phys. Lett. A. 303:2002;179-189.
    • (2002) Phys. Lett. A , vol.303 , pp. 179-189
    • Lei, M.1    Wang, Z.2    Feng, Z.3
  • 6
    • 0001874436 scopus 로고    scopus 로고
    • Practical method for determining the minimum embedding dimension of a scalar time series
    • Cao L. Practical method for determining the minimum embedding dimension of a scalar time series. Physica D. 110:1997;43-50.
    • (1997) Physica D , vol.110 , pp. 43-50
    • Cao, L.1
  • 7
    • 34249988665 scopus 로고
    • Extracting qualitative dynamics from experimental data
    • Broomhead D.S., King G.P. Extracting qualitative dynamics from experimental data. Physica D. 20:1986;217-236.
    • (1986) Physica D , vol.20 , pp. 217-236
    • Broomhead, D.S.1    King, G.P.2
  • 8
    • 35949015106 scopus 로고
    • Singular value decomposition and embedding dimension
    • Mees A.I., Rapp P.E., Jenning L.S. Singular value decomposition and embedding dimension. Phys. Rev. A. 36(1):1987;340-346.
    • (1987) Phys. Rev. A , vol.36 , Issue.1 , pp. 340-346
    • Mees, A.I.1    Rapp, P.E.2    Jenning, L.S.3
  • 9
    • 0141444129 scopus 로고    scopus 로고
    • Determination of embedding dimension using multiple time series based on singular value decomposition
    • Troch I, Breitenecker F, editors, Vienna, Austria
    • Ataei M, Khaki-Sedigh A, Lohmann B, Lucas C. Determination of embedding dimension using multiple time series based on singular value decomposition. In: Troch I, Breitenecker F, editors. Proceedings 4th International Symposium on Mathematical Modeling, Vienna, Austria, 2003. p. 190-6.
    • (2003) Proceedings 4th International Symposium on Mathematical Modeling , pp. 190-196
    • Ataei, M.1    Khaki-Sedigh, A.2    Lohmann, B.3    Lucas, C.4
  • 10
    • 35949006791 scopus 로고
    • Determining embedding dimension for phase space reconstruction using a geometrical construction
    • Kennel M.B., Brown R., Abarbanel H.D.I. Determining embedding dimension for phase space reconstruction using a geometrical construction. Phys. Rev. A. 45(6):1992;3403-3411.
    • (1992) Phys. Rev. A , vol.45 , Issue.6 , pp. 3403-3411
    • Kennel, M.B.1    Brown, R.2    Abarbanel, H.D.I.3
  • 12
    • 0039233417 scopus 로고
    • Estimating the embedding dimension
    • Aleksic Z. Estimating the embedding dimension. Physica D. 52:1991;362-368.
    • (1991) Physica D , vol.52 , pp. 362-368
    • Aleksic, Z.1
  • 14
    • 45149144372 scopus 로고
    • Nonlinear prediction of chaotic time series
    • Casdagli M. Nonlinear prediction of chaotic time series. Physica D. 35:1989;335-356.
    • (1989) Physica D , vol.35 , pp. 335-356
    • Casdagli, M.1
  • 15
    • 0001267036 scopus 로고
    • Estimating the dimensions of weather and climate attractor
    • Fraedrich K. Estimating the dimensions of weather and climate attractor. J. Atmos. Sci. 43(5):1986;419-432.
    • (1986) J. Atmos. Sci. , vol.43 , Issue.5 , pp. 419-432
    • Fraedrich, K.1
  • 16
    • 0027795911 scopus 로고
    • Estimating the dimension of weather and climate attractors: Important issues about the procedure and interpretation
    • Tsonis A.A., Elsner J.B., Georgakakos K.P. Estimating the dimension of weather and climate attractors: important issues about the procedure and interpretation. J. Atmos. Sci. 50(15):1993;2549-2555.
    • (1993) J. Atmos. Sci. , vol.50 , Issue.15 , pp. 2549-2555
    • Tsonis, A.A.1    Elsner, J.B.2    Georgakakos, K.P.3
  • 17
    • 0041591029 scopus 로고    scopus 로고
    • Fractal dimensional analysis of Indian climatic dynamics
    • Rangarajan G., Sant D.A. Fractal dimensional analysis of Indian climatic dynamics. Chaos Solitons & Fractals. 19:2004;285-291.
    • (2004) Chaos Solitons & Fractals , vol.19 , pp. 285-291
    • Rangarajan, G.1    Sant, D.A.2
  • 19
    • 0035879624 scopus 로고    scopus 로고
    • Multivariate nonlinear prediction of river flows
    • Porporato A., Ridolfi L. Multivariate nonlinear prediction of river flows. J. Hydrol. 248:2001;109-122.
    • (2001) J. Hydrol. , vol.248 , pp. 109-122
    • Porporato, A.1    Ridolfi, L.2
  • 20
    • 38249030336 scopus 로고    scopus 로고
    • Forecasting the Dutch heavy truck market, a multivariate approach
    • Heuts R.M.J., Bronckers J.H.J.M. Forecasting the Dutch heavy truck market, a multivariate approach. Int. J. Forecasting. 4:1998;57-79.
    • (1998) Int. J. Forecasting , vol.4 , pp. 57-79
    • Heuts, R.M.J.1    Bronckers, J.H.J.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.