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Volumn 9, Issue 2, 1999, Pages 413-435

Practical implementation of nonlinear time series methods: The TISEAN package

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EID: 0000810560     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.166424     Document Type: Article
Times cited : (1396)

References (92)
  • 1
    • 84958271053 scopus 로고    scopus 로고
    • The TISEAN software package is publicly available. The distribution includes an online documentation system
    • The TISEAN software package is publicly available at http://www.mpipks-dresden.mpg.de/~tisean. The distribution includes an online documentation system.
  • 3
    • 0002060398 scopus 로고    scopus 로고
    • Interdisciplinary application of nonlinear time series methods
    • T. Schreiber, "Interdisciplinary application of nonlinear time series methods," Phys. Rep. 308, 1 (1998).
    • (1998) Phys. Rep. , vol.308 , pp. 1
    • Schreiber, T.1
  • 5
    • 0003582543 scopus 로고
    • Cambridge University Press, Cambridge
    • E. Ott, Chaos in Dynamical Systems (Cambridge University Press, Cambridge, 1993).
    • (1993) Chaos in Dynamical Systems
    • Ott, E.1
  • 20
    • 12944259200 scopus 로고
    • Efficient neighbor searching in nonlinear time series analysis
    • T. Schreiber, "Efficient neighbor searching in nonlinear time series analysis," Int. J. Bifurcation Chaos Appl. Sci. Eng. 5, 349 (1995).
    • (1995) Int. J. Bifurcation Chaos Appl. Sci. Eng. , vol.5 , pp. 349
    • Schreiber, T.1
  • 21
    • 0000779360 scopus 로고
    • Detecting strange attractors in turbulence
    • Springer-Verlag, New York, Vol. 898
    • F. Takens, Detecting Strange Attractors in Turbulence, Lecture Notes in Mathematics Vol. 898 (Springer-Verlag, New York, 1981), Vol. 898.
    • (1981) Lecture Notes in Mathematics , vol.898
    • Takens, F.1
  • 23
    • 0006718852 scopus 로고    scopus 로고
    • Phase space embedding of electrocardiograms
    • M. Richter and T. Schreiber, "Phase space embedding of electrocardiograms," Phys. Rev. E. 58, 6392 (1998).
    • (1998) Phys. Rev. E. , vol.58 , pp. 6392
    • Richter, M.1    Schreiber, T.2
  • 24
    • 44949273552 scopus 로고
    • State space reconstruction in the presence of noise
    • M. Casdagli, S. Eubank, J. D. Farmer, and J. Gibson, "State space reconstruction in the presence of noise," Physica D 51, 52 (1991).
    • (1991) Physica D , vol.51 , pp. 52
    • Casdagli, M.1    Eubank, S.2    Farmer, J.D.3    Gibson, J.4
  • 25
    • 34548696055 scopus 로고
    • Independent coordinates for strange attractors from mutual information
    • A. M. Fraser and H. L. Swinney, "Independent coordinates for strange attractors from mutual information," Phys. Rev. A 33, 1134 (1986).
    • (1986) Phys. Rev. A , vol.33 , pp. 1134
    • Fraser, A.M.1    Swinney, H.L.2
  • 26
    • 0003207190 scopus 로고
    • Measuring statistical dependences in a time series
    • B. Pompe, "Measuring statistical dependences in a time series," J. Stat. Phys. 73, 587 (1993).
    • (1993) J. Stat. Phys. , vol.73 , pp. 587
    • Pompe, B.1
  • 27
    • 4243440738 scopus 로고
    • Testing for nonlinearity using redundancies: Quantitative and qualitative aspects
    • M. Paluš, "Testing for nonlinearity using redundancies: Quantitative and qualitative aspects," Physica D 80, 186 (1995).
    • (1995) Physica D , vol.80 , pp. 186
    • Paluš, M.1
  • 28
    • 35949006791 scopus 로고
    • Determining embedding dimension for phase-space reconstruction using a geometrical construction
    • M. B. Kennel, R. Brown, and H. D. I. Abarbanel, "Determining embedding dimension for phase-space reconstruction using a geometrical construction," Phys. Rev. A 45, 3403 (1992).
    • (1992) Phys. Rev. A , vol.45 , pp. 3403
    • Kennel, M.B.1    Brown, R.2    Abarbanel, H.D.I.3
  • 29
    • 85000298695 scopus 로고    scopus 로고
    • http://hpux.cs.utah.edu/hppd/hpux/Physics/embedding-26.May.93
  • 30
    • 85000298693 scopus 로고    scopus 로고
    • http://www.zweb.com/apnonlin/
  • 32
    • 0022472327 scopus 로고
    • Extracting qualitative dynamics from experimental data
    • D. Broomhead and G. P. King, "Extracting qualitative dynamics from experimental data," Physica D 20, 217 (1986).
    • (1986) Physica D , vol.20 , pp. 217
    • Broomhead, D.1    King, G.P.2
  • 34
    • 19044361940 scopus 로고
    • Singular-spectrum analysis: A toolkit for short, noisy chaotic signals
    • R. Vautard, P. Yiou, and M. Ghil, "Singular-spectrum analysis: a toolkit for short, noisy chaotic signals," Physica D 58, 95 (1992).
    • (1992) Physica D , vol.58 , pp. 95
    • Vautard, R.1    Yiou, P.2    Ghil, M.3
  • 36
    • 0031138737 scopus 로고    scopus 로고
    • Embedding of sequences of time intervals
    • R. Hegger and H. Kantz, "Embedding of sequences of time intervals," Europhys. Lett. 38, 267 (1997).
    • (1997) Europhys. Lett. , vol.38 , pp. 267
    • Hegger, R.1    Kantz, H.2
  • 38
    • 22244460535 scopus 로고    scopus 로고
    • Recurrence plots revisited
    • M. Casdagli, "Recurrence plots revisited," Physica D 108, 206 (1997).
    • (1997) Physica D , vol.108 , pp. 206
    • Casdagli, M.1
  • 39
    • 0000192492 scopus 로고
    • Topological time series analysis of a string experiment and its synchronized model
    • N. B. Tufillaro, P. Wyckoff, R. Brown, T. Schreiber, and T. Molteno, "Topological time series analysis of a string experiment and its synchronized model," Phys. Rev. E 51, 164 (1995).
    • (1995) Phys. Rev. E , vol.51 , pp. 164
    • Tufillaro, N.B.1    Wyckoff, P.2    Brown, R.3    Schreiber, T.4    Molteno, T.5
  • 40
    • 85000298698 scopus 로고    scopus 로고
    • http://homepages.luc.edu/~cwebber/
  • 41
    • 44049112233 scopus 로고
    • Distinguishing between low-dimensional dynamics and randomness in measured time series
    • A. Provenzale, L. A. Smith, R. Vio, and G. Murante, "Distinguishing between low-dimensional dynamics and randomness in measured time series," Physica D 58, 31 (1992).
    • (1992) Physica D , vol.58 , pp. 31
    • Provenzale, A.1    Smith, L.A.2    Vio, R.3    Murante, G.4
  • 42
    • 0003348046 scopus 로고
    • Threshold models in non-linear time series analysis
    • Springer-Verlag, New York
    • H. Tong, Threshold Models in Non-Linear Time Series Analysis, Lecture Notes in Statistics (Springer-Verlag, New York, 1983), Vol. 21.
    • (1983) Lecture Notes in Statistics , vol.21
    • Tong, H.1
  • 44
    • 0025199496 scopus 로고
    • Nonlinear forecasting as a way of distinguishing chaos from measurement error in time series
    • reprinted in Ref. 9
    • G. Sugihara and R. May, "Nonlinear forecasting as a way of distinguishing chaos from measurement error in time series," Nature (London) 344, 734 (1990); reprinted in Ref. 9.
    • (1990) Nature (London) , vol.344 , pp. 734
    • Sugihara, G.1    May, R.2
  • 45
  • 46
    • 34249982739 scopus 로고
    • Predicting chaotic time series
    • reprinted in Ref. 9
    • J. D. Farmer and J. Sidorowich, "Predicting chaotic time series," Phys. Rev. Lett. 59, 845 (1987); reprinted in Ref. 9.
    • (1987) Phys. Rev. Lett. , vol.59 , pp. 845
    • Farmer, J.D.1    Sidorowich, J.2
  • 48
    • 0001452580 scopus 로고
    • Characterization of unstable periodic orbits in chaotic attractors and repellers
    • O. Biham and W. Wenzel, "Characterization of unstable periodic orbits in chaotic attractors and repellers," Phys. Rev. Lett. 63, 819 (1989).
    • (1989) Phys. Rev. Lett. , vol.63 , pp. 819
    • Biham, O.1    Wenzel, W.2
  • 50
    • 0032025560 scopus 로고    scopus 로고
    • A general approach to the finding of unstable periodic orbits in chaotic dynamical systems
    • P. Schmelcher and F. K. Diakonos, "A general approach to the finding of unstable periodic orbits in chaotic dynamical systems," Phys. Rev. E 57, 2739 (1998).
    • (1998) Phys. Rev. E , vol.57 , pp. 2739
    • Schmelcher, P.1    Diakonos, F.K.2
  • 51
    • 0000774877 scopus 로고    scopus 로고
    • Regularized local linear prediction of chaotic time series
    • D. Kugiumtzis, O. C. Lingjærde, and N. Christophersen, "Regularized local linear prediction of chaotic time series," Physica D 112, 344 (1998).
    • (1998) Physica D , vol.112 , pp. 344
    • Kugiumtzis, D.1    Lingjærde, O.C.2    Christophersen, N.3
  • 52
    • 0001128249 scopus 로고    scopus 로고
    • Unbiased reconstruction of the dynamics underlying a noisy chaotic time series
    • L. Jaeger and H. Kantz, "Unbiased reconstruction of the dynamics underlying a noisy chaotic time series," Chaos 6, 440 (1996).
    • (1996) Chaos , vol.6 , pp. 440
    • Jaeger, L.1    Kantz, H.2
  • 53
    • 0000202504 scopus 로고
    • Chaos and deterministic versus stochastic nonlinear modeling
    • M. Casdagli, "Chaos and deterministic versus stochastic nonlinear modeling," J. R. Statist. Soc. B 54, 303 (1991).
    • (1991) J. R. Statist. Soc. B , vol.54 , pp. 303
    • Casdagli, M.1
  • 54
    • 0000621802 scopus 로고
    • Multivariable functional interpolation and adaptive networks
    • D. Broomhead and D. Lowe, "Multivariable functional interpolation and adaptive networks," Complex Syst. 2, 321 (1988).
    • (1988) Complex Syst. , vol.2 , pp. 321
    • Broomhead, D.1    Lowe, D.2
  • 55
    • 0001977937 scopus 로고
    • Identification and prediction of low dimensional dynamics
    • L. A. Smith, "Identification and prediction of low dimensional dynamics," Physica D 58, 50 (1992).
    • (1992) Physica D , vol.58 , pp. 50
    • Smith, L.A.1
  • 56
    • 45149144372 scopus 로고
    • Nonlinear prediction of chaotic time series
    • reprinted in Ref. 9
    • M. Casdagli, "Nonlinear prediction of chaotic time series," Physica D 35, 335 (1989); reprinted in Ref. 9.
    • (1989) Physica D , vol.35 , pp. 335
    • Casdagli, M.1
  • 57
    • 0001391710 scopus 로고
    • Noise reduction in chaotic time series data: A survey of common methods
    • E. J. Kostelich and T. Schreiber, "Noise reduction in chaotic time series data: A survey of common methods," Phys. Rev. E 48, 1752 (1993).
    • (1993) Phys. Rev. E , vol.48 , pp. 1752
    • Kostelich, E.J.1    Schreiber, T.2
  • 58
    • 0000982546 scopus 로고
    • Noise reduction schemes for chaotic time series
    • M. E. Davies, "Noise reduction schemes for chaotic time series," Physica D 79, 174 (1994).
    • (1994) Physica D , vol.79 , pp. 174
    • Davies, M.E.1
  • 59
    • 0001373630 scopus 로고
    • Extremely simple nonlinear noise reduction method
    • T. Schreiber, "Extremely simple nonlinear noise reduction method," Phys. Rev. E 47, 2401 (1993).
    • (1993) Phys. Rev. E , vol.47 , pp. 2401
    • Schreiber, T.1
  • 61
  • 64
    • 0000662153 scopus 로고
    • Dangers of geometric filtering
    • A. I. Mees and K. Judd, "Dangers of geometric filtering," Physica D 68, 427 (1993).
    • (1993) Physica D , vol.68 , pp. 427
    • Mees, A.I.1    Judd, K.2
  • 66
    • 0031962513 scopus 로고    scopus 로고
    • Fetal ECG extraction with nonlinear phase space projections
    • M. Richter, T. Schreiber, and D. T. Kaplan, "Fetal ECG extraction with nonlinear phase space projections," IEEE Trans. Biomed. Eng. 45, 133 (1998).
    • (1998) IEEE Trans. Biomed. Eng. , vol.45 , pp. 133
    • Richter, M.1    Schreiber, T.2    Kaplan, D.T.3
  • 67
    • 35949018382 scopus 로고
    • Ergodic theory of chaos and strange attractors
    • J.-P. Eckmann and D. Ruelle, "Ergodic theory of chaos and strange attractors," Rev. Mod. Phys. 57, 617 (1985).
    • (1985) Rev. Mod. Phys. , vol.57 , pp. 617
    • Eckmann, J.-P.1    Ruelle, D.2
  • 68
    • 0005875463 scopus 로고
    • Calculation of Lyapunov exponents avoiding spurious elements
    • R. Stoop and J. Parisi, "Calculation of Lyapunov exponents avoiding spurious elements," Physica D 50, 89 (1991).
    • (1991) Physica D , vol.50 , pp. 89
    • Stoop, R.1    Parisi, J.2
  • 69
    • 0001870258 scopus 로고
    • A robust method to estimate the maximal Lyapunov exponent of a time series
    • H. Kantz, "A robust method to estimate the maximal Lyapunov exponent of a time series," Phys. Lett. A 185, 77 (1994).
    • (1994) Phys. Lett. A , vol.185 , pp. 77
    • Kantz, H.1
  • 70
    • 43949166788 scopus 로고
    • A practical method for calculating largest Lyapunov exponents from small data sets
    • M. T. Rosenstein, J. J. Collins, and C. J. De Luca, "A practical method for calculating largest Lyapunov exponents from small data sets," Physica D 65, 117 (1993).
    • (1993) Physica D , vol.65 , pp. 117
    • Rosenstein, M.T.1    Collins, J.J.2    De Luca, C.J.3
  • 71
    • 0001394076 scopus 로고
    • Measurement of the Lyapunov spectrum from a chaotic time series
    • M. Sano and Y. Sawada, "Measurement of the Lyapunov spectrum from a chaotic time series," Phys. Rev. Lett. 55, 1082 (1985).
    • (1985) Phys. Rev. Lett. , vol.55 , pp. 1082
    • Sano, M.1    Sawada, Y.2
  • 72
    • 0040177685 scopus 로고
    • Chaotic behavior of multidimensional difference equations
    • edited by H. O. Peitgen and H. O. Walther Springer-Verlag, New York
    • J. Kaplan and J. Yorke, "Chaotic behavior of multidimensional difference equations," in Functional Differential Equations and Approximation of Fixed Points, edited by H. O. Peitgen and H. O. Walther (Springer-Verlag, New York, 1987).
    • (1987) Functional Differential Equations and Approximation of Fixed Points
    • Kaplan, J.1    Yorke, J.2
  • 76
    • 0001554852 scopus 로고
    • reprinted in Ref. 18
    • H. Kantz and T. Schreiber, Chaos 5, 143 (1995); reprinted in Ref. 18.
    • (1995) Chaos , vol.5 , pp. 143
    • Kantz, H.1    Schreiber, T.2
  • 77
    • 0000090102 scopus 로고
    • Finite sample corrections to entropy and dimension estimates
    • P. Grassberger, "Finite sample corrections to entropy and dimension estimates," Phys. Lett. A 128, 369 (1988).
    • (1988) Phys. Lett. A , vol.128 , pp. 369
    • Grassberger, P.1
  • 78
    • 0002405786 scopus 로고
    • Dynamical systems and bifurcations
    • edited by B. L. J. Braaksma, H. W. Broer, and F. Takens, Springer-Verlag, Heidelberg
    • F. Takens, in Dynamical Systems and Bifurcations, edited by B. L. J. Braaksma, H. W. Broer, and F. Takens, Lecture Notes in Mathematics (Springer-Verlag, Heidelberg, 1985), Vol. 1125.
    • (1985) Lecture Notes in Mathematics , vol.1125
    • Takens, F.1
  • 79
    • 0000419983 scopus 로고
    • Lacunarity in a best estimator of fractal dimension
    • J. Theiler, "Lacunarity in a best estimator of fractal dimension," Phys. Lett. A 135, 195 (1988).
    • (1988) Phys. Lett. A , vol.135 , pp. 195
    • Theiler, J.1
  • 80
    • 0000401256 scopus 로고
    • Integrated wavelets on fractal sets I: The correlation dimension
    • J. M. Ghez and S. Vaienti, "Integrated wavelets on fractal sets I: The correlation dimension," Nonlinearity 5, 777 (1992).
    • (1992) Nonlinearity , vol.5 , pp. 777
    • Ghez, J.M.1    Vaienti, S.2
  • 81
    • 0001463465 scopus 로고
    • Statistical description of chaotic attractors
    • R. Badii and A. Politi, "Statistical description of chaotic attractors," J. Star. Phys. 40, 725 (1985).
    • (1985) J. Star. Phys. , vol.40 , pp. 725
    • Badii, R.1    Politi, A.2
  • 82
    • 44049111332 scopus 로고
    • Testing for nonlinearity in time series: The method of surrogate data
    • reprinted in Ref. 9
    • J. Theiler, S. Eubank, A. Longtin, B. Galdrikian, and J. D. Farmer, "Testing for nonlinearity in time series: The method of surrogate data," Physica D 58, 77 (1992); reprinted in Ref. 9.
    • (1992) Physica D , vol.58 , pp. 77
    • Theiler, J.1    Eubank, S.2    Longtin, A.3    Galdrikian, B.4    Farmer, J.D.5
  • 83
    • 6144236430 scopus 로고    scopus 로고
    • Improved surrogate data for nonlinearity tests
    • T. Schreiber and A. Schmitz, "Improved surrogate data for nonlinearity tests," Phys. Rev. Lett. 77, 635 (1996).
    • (1996) Phys. Rev. Lett. , vol.77 , pp. 635
    • Schreiber, T.1    Schmitz, A.2
  • 85
    • 0001318121 scopus 로고    scopus 로고
    • Constrained randomization of time series data
    • T. Schreiber, "Constrained randomization of time series data," Phys. Rev. Lett. 80, 2105 (1998).
    • (1998) Phys. Rev. Lett. , vol.80 , pp. 2105
    • Schreiber, T.1
  • 86
    • 0003299258 scopus 로고
    • An introduction to bispectral analysis and bilinear time series models
    • Springer-Verlag, New York
    • T. Subba Rao and M. M. Gabr, An Introduction to Bispectral Analysis and Bilinear Time Series Models, Lecture Notes in Statistics (Springer-Verlag, New York, 1984), Vol. 24.
    • (1984) Lecture Notes in Statistics , vol.24
    • Subba Rao, T.1    Gabr, M.M.2
  • 87
    • 33645086202 scopus 로고
    • Reversibility as a criterion for discriminating time series
    • C. Diks, J. C. van Houwelingen, F. Takens, and J. DeGoede, "Reversibility as a criterion for discriminating time series," Phys. Lett. A 201, 221 (1995).
    • (1995) Phys. Lett. A , vol.201 , pp. 221
    • Diks, C.1    Van Houwelingen, J.C.2    Takens, F.3    DeGoede, J.4
  • 88
    • 0000541993 scopus 로고    scopus 로고
    • Discrimination power of measures for nonlinearity in a time series
    • T. Schreiber and A. Schmitz, "Discrimination power of measures for nonlinearity in a time series," Phys. Rev. E 55, 5443 (1997).
    • (1997) Phys. Rev. E , vol.55 , pp. 5443
    • Schreiber, T.1    Schmitz, A.2
  • 89
    • 36348931715 scopus 로고
    • Classification of highly noisy signals using global dynamical models
    • J. Kadtke, "Classification of highly noisy signals using global dynamical models," Phys. Lett. A 203, 196 (1995).
    • (1995) Phys. Lett. A , vol.203 , pp. 196
    • Kadtke, J.1
  • 90
    • 22244479670 scopus 로고    scopus 로고
    • Stationarity and nonstationarity in time series analysis
    • R. Manuca and R. Savit, "Stationarity and nonstationarity in time series analysis," Physica D 99, 134 (1996).
    • (1996) Physica D , vol.99 , pp. 134
    • Manuca, R.1    Savit, R.2
  • 92
    • 0000828959 scopus 로고    scopus 로고
    • Detecting and analyzing nonstationarity in a time series using nonlinear cross predictions
    • T. Schreiber, "Detecting and analyzing nonstationarity in a time series using nonlinear cross predictions," Phys. Rev. Lett. 78, 843 (1997).
    • (1997) Phys. Rev. Lett. , vol.78 , pp. 843
    • Schreiber, T.1


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