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Volumn 3, Issue C, 2010, Pages 345-377

Reconstruction theory and nonlinear time series analysis

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EID: 77957135203     PISSN: 1874575X     EISSN: None     Source Type: Book Series    
DOI: 10.1016/S1874-575X(10)00315-2     Document Type: Book
Times cited : (22)

References (54)
  • 1
    • 0019610283 scopus 로고
    • Generic observability of differentiable systems
    • Aeyels D. Generic observability of differentiable systems. SIAM J. Control Optim. 1981, 19:595-603.
    • (1981) SIAM J. Control Optim. , vol.19 , pp. 595-603
    • Aeyels, D.1
  • 3
    • 0000192965 scopus 로고
    • Hausdorff dimension and uniformity factor of strange attractors
    • Badii R., Politi A. Hausdorff dimension and uniformity factor of strange attractors. Phys. Rev. Lett. 1984, 52:1661-1664.
    • (1984) Phys. Rev. Lett. , vol.52 , pp. 1661-1664
    • Badii, R.1    Politi, A.2
  • 4
    • 0001463465 scopus 로고
    • Statistical description of chaotic attractors: the dimension function
    • Badii R., Politi A. Statistical description of chaotic attractors: the dimension function. J. Stat. Phys. 1985, 40:725-750.
    • (1985) J. Stat. Phys. , vol.40 , pp. 725-750
    • Badii, R.1    Politi, A.2
  • 6
    • 0002467622 scopus 로고
    • On local entropy
    • J. Palis (Ed.) Geometric Dynamics
    • Brin M., Katok A. On local entropy. LNM 1983, Vol. 1007. J. Palis (Ed.).
    • (1983) LNM , vol.1007
    • Brin, M.1    Katok, A.2
  • 7
    • 79952012630 scopus 로고    scopus 로고
    • Dynamical Systems and Chaos
    • Springer Appl. Math. Sci., (2010)
    • Broer H.W., Takens F. Dynamical Systems and Chaos. Epsilon Uitgaven 2009, Vol. 64. Springer Appl. Math. Sci., Vol. 172 (2010).
    • (2009) Epsilon Uitgaven , vol.64-172
    • Broer, H.W.1    Takens, F.2
  • 8
    • 0000202504 scopus 로고
    • Chaos and deterministic versus stochastic non-linear modelling
    • Casdagli M. Chaos and deterministic versus stochastic non-linear modelling. J. R. Statist. Soc. B 1992, 54:303-328.
    • (1992) J. R. Statist. Soc. B , vol.54 , pp. 303-328
    • Casdagli, M.1
  • 9
    • 0003447029 scopus 로고
    • Addison-Wesley, M. Casdagli, S. Eubank (Eds.)
    • Nonlinear Modelling and Forecasting 1992, Addison-Wesley. M. Casdagli, S. Eubank (Eds.).
    • (1992) Nonlinear Modelling and Forecasting
  • 11
    • 0001743732 scopus 로고
    • Some results on the behaviour and estimation of the fractal dimension of distributions on attractors
    • Cutler C.D. Some results on the behaviour and estimation of the fractal dimension of distributions on attractors. J. Stat. Phys. 1991, 62:651-708.
    • (1991) J. Stat. Phys. , vol.62 , pp. 651-708
    • Cutler, C.D.1
  • 12
    • 77957125019 scopus 로고    scopus 로고
    • Nonlinear dynamics and time series
    • AMS, C.D. Cutler, D.T. Kaplan (Eds.)
    • Nonlinear dynamics and time series. Fields Inst. Communications 1997, Vol. 11. AMS. C.D. Cutler, D.T. Kaplan (Eds.).
    • (1997) Fields Inst. Communications , vol.11
  • 13
    • 0002116827 scopus 로고
    • Rigorous statistical procedures for data from dynamical systems
    • Denker M., Keller G. Rigorous statistical procedures for data from dynamical systems. J. Stat. Phys. 1986, 44:67-93.
    • (1986) J. Stat. Phys. , vol.44 , pp. 67-93
    • Denker, M.1    Keller, G.2
  • 15
    • 0001541230 scopus 로고    scopus 로고
    • Detecting differences between delay vector distributions
    • Diks C., van Zwet W.R., Takens F., DeGoede J. Detecting differences between delay vector distributions. Phys. Rev. E 1996, 53:2169-2176.
    • (1996) Phys. Rev. E , vol.53 , pp. 2169-2176
    • Diks, C.1    van Zwet, W.R.2    Takens, F.3    DeGoede, J.4
  • 17
    • 35949018382 scopus 로고
    • Ergodic theory of chaos and strange attractors
    • Eckmann J.-P., Ruelle D. Ergodic theory of chaos and strange attractors. Rev. Mod. Phys. 1985, 57:617-656.
    • (1985) Rev. Mod. Phys. , vol.57 , pp. 617-656
    • Eckmann, J.-P.1    Ruelle, D.2
  • 21
    • 33646981873 scopus 로고
    • Characterisation of strange attractors
    • Grassberger P., Procaccia I. Characterisation of strange attractors. Phys. Rev. Lett. 1983, 50:346-349.
    • (1983) Phys. Rev. Lett. , vol.50 , pp. 346-349
    • Grassberger, P.1    Procaccia, I.2
  • 22
    • 4243243202 scopus 로고
    • Estimation of Kolmogorov entropy from a chaotic signal
    • Grassberger P., Procaccia I. Estimation of Kolmogorov entropy from a chaotic signal. Phys. Rev. A 1983, 28:2591-2593.
    • (1983) Phys. Rev. A , vol.28 , pp. 2591-2593
    • Grassberger, P.1    Procaccia, I.2
  • 23
    • 48549112428 scopus 로고
    • Dimensions and entropies of strange attractors from a fluctuating dynamics approach
    • Grassberger P., Procaccia I. Dimensions and entropies of strange attractors from a fluctuating dynamics approach. Physica D 1984, 13:34-54.
    • (1984) Physica D , vol.13 , pp. 34-54
    • Grassberger, P.1    Procaccia, I.2
  • 24
  • 25
    • 0346372923 scopus 로고
    • The infinite number of generalised dimensions of fractals and strange attractors
    • Hentschel H.G.E., Procaccia I. The infinite number of generalised dimensions of fractals and strange attractors. Physica D 1983, 8:435-444.
    • (1983) Physica D , vol.8 , pp. 435-444
    • Hentschel, H.G.E.1    Procaccia, I.2
  • 26
    • 0001209622 scopus 로고
    • Quantifying the closeness of fractal measures
    • Kantz H. Quantifying the closeness of fractal measures. Phys. Rev. E 1994, 49:5091-5097.
    • (1994) Phys. Rev. E , vol.49 , pp. 5091-5097
    • Kantz, H.1
  • 28
    • 0001640825 scopus 로고
    • Chaotic behaviour of multidimensional difference equations
    • Springer, H.-O. Peitgen, H.O. Walter (Eds.) Functional Differential Equations and Approximations of Fixed Points
    • Kaplan J.L., Yorke J.A. Chaotic behaviour of multidimensional difference equations. LNM 1979, Vol. 730. Springer. H.-O. Peitgen, H.O. Walter (Eds.).
    • (1979) LNM , vol.730
    • Kaplan, J.L.1    Yorke, J.A.2
  • 29
    • 0001048955 scopus 로고
    • The metric entropy of diffeomorphisms, Part I and II
    • and 540-574
    • Ledrappier F., Young L.S. The metric entropy of diffeomorphisms, Part I and II. Ann. of Math. 1985, 122:509-539. and 540-574.
    • (1985) Ann. of Math. , vol.122 , pp. 509-539
    • Ledrappier, F.1    Young, L.S.2
  • 30
    • 0000543733 scopus 로고
    • A multiplicative ergodic theorem
    • Oseledets V.I. A multiplicative ergodic theorem. Trans. Moscow Math. Soc. 1968, 19:197-221.
    • (1968) Trans. Moscow Math. Soc. , vol.19 , pp. 197-221
    • Oseledets, V.I.1
  • 31
    • 0003861548 scopus 로고
    • Wiley, E. Ott, T. Sauer, J.A. Yorke (Eds.)
    • Coping with Chaos 1994, Wiley. E. Ott, T. Sauer, J.A. Yorke (Eds.).
    • (1994) Coping with Chaos
  • 38
    • 0001285133 scopus 로고
    • Deterministic chaos: the science and the fiction
    • Ruelle D. Deterministic chaos: the science and the fiction. Proc. R. Soc. London A 1990, 427:241-248.
    • (1990) Proc. R. Soc. London A , vol.427 , pp. 241-248
    • Ruelle, D.1
  • 39
    • 0013332498 scopus 로고    scopus 로고
    • Historical behaviour in smooth dynamical systems
    • IoP Publishing, H.W. Broer, B. Krauskopf, G. Vegter (Eds.)
    • Ruelle D. Historical behaviour in smooth dynamical systems. Global Analysis of Dynamical Systems 2001, IoP Publishing. H.W. Broer, B. Krauskopf, G. Vegter (Eds.).
    • (2001) Global Analysis of Dynamical Systems
    • Ruelle, D.1
  • 41
    • 0000779360 scopus 로고
    • Detecting strange attractors in turbulence
    • Springer, D. Rand, L.-S. Young (Eds.) Dynamical Systems and Turbulence, Warwick 1980
    • Takens F. Detecting strange attractors in turbulence. LNM 1981, Vol. 898. Springer. D. Rand, L.-S. Young (Eds.).
    • (1981) LNM , vol.898
    • Takens, F.1
  • 43
    • 0007348981 scopus 로고
    • Heteroclinic attractors: time averages and moduli of topological conjugacy
    • Takens F. Heteroclinic attractors: time averages and moduli of topological conjugacy. Bol. Soc. Bras. Mat. 1994, 25:107-120.
    • (1994) Bol. Soc. Bras. Mat. , vol.25 , pp. 107-120
    • Takens, F.1
  • 44
    • 0036667157 scopus 로고    scopus 로고
    • The reconstruction theorem for endomorphisms
    • Takens F. The reconstruction theorem for endomorphisms. Bol. Bras. Math. Soc. 2002, 33:231-262.
    • (2002) Bol. Bras. Math. Soc. , vol.33 , pp. 231-262
    • Takens, F.1
  • 45
    • 43049106128 scopus 로고    scopus 로고
    • Orbits with historic behaviour, or non-=existence of averages
    • T33-T36
    • Takens F. Orbits with historic behaviour, or non-=existence of averages. Nonlinearity 2008, 21. T33-T36.
    • (2008) Nonlinearity , vol.21
    • Takens, F.1
  • 46
    • 0005178883 scopus 로고    scopus 로고
    • Generalised entropies: Rényi and correlation integral approach
    • Takens F., Verbitski E. Generalised entropies: Rényi and correlation integral approach. Nonlinearity 1998, 11:771-782.
    • (1998) Nonlinearity , vol.11 , pp. 771-782
    • Takens, F.1    Verbitski, E.2
  • 47
    • 0001287913 scopus 로고    scopus 로고
    • General multi-fractal analysis of local entropies
    • Takens F., Verbitski E. General multi-fractal analysis of local entropies. Fund. Math. 2000, 165:203-237.
    • (2000) Fund. Math. , vol.165 , pp. 203-237
    • Takens, F.1    Verbitski, E.2
  • 48
    • 84975613293 scopus 로고
    • Estimating fractal dimension
    • Theiler J. Estimating fractal dimension. J. Opt. Soc. Am. 1990, 7:1055-1073.
    • (1990) J. Opt. Soc. Am. , vol.7 , pp. 1055-1073
    • Theiler, J.1
  • 49
    • 0042024769 scopus 로고
    • World Scientific, H. Tong (Ed.)
    • Chaos and Forecasting 1995, World Scientific. H. Tong (Ed.).
    • (1995) Chaos and Forecasting
  • 50
    • 0009030460 scopus 로고
    • Royal statistical society meeting on chaos, J. R. Stat. Soc. B
    • H. Tong and R.L. Smith, eds, Royal statistical society meeting on chaos, J. R. Stat. Soc. B 54 (1992), 301-474.
    • (1992) , vol.54 , pp. 301-474
    • Tong, H.1    Smith, R.L.2
  • 52
    • 77957126571 scopus 로고    scopus 로고
    • Generalised entropies and dynamical systems, Thesis, Rijksuniversiteit Groningen
    • E.A. Verbitski, Generalised entropies and dynamical systems, Thesis, Rijksuniversiteit Groningen (2000).
    • (2000)
    • Verbitski, E.A.1
  • 53
    • 0003410303 scopus 로고
    • Addison-Wesley, A.S. Weigend, N.A. Gershenfeld (Eds.)
    • Time Series Prediction 1994, Addison-Wesley. A.S. Weigend, N.A. Gershenfeld (Eds.).
    • (1994) Time Series Prediction
  • 54
    • 0001295575 scopus 로고
    • Differentiable manifolds
    • Whitney H. Differentiable manifolds. Ann. of Math. 1936, 37:645-680.
    • (1936) Ann. of Math. , vol.37 , pp. 645-680
    • Whitney, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.