메뉴 건너뛰기




Volumn 358, Issue 1765, 2000, Pages 41-61

Observing complexity, seeing simplicity

Author keywords

Delay reconstruction; Embedding; Prediction; Spatio temporal; Takens' theorem; Time series

Indexed keywords


EID: 0348003178     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.2000.0518     Document Type: Article
Times cited : (16)

References (26)
  • 2
    • 0019610283 scopus 로고
    • Generic observability of differentiable systems
    • Aeyels, D. 1981 Generic observability of differentiable systems. SIAM J. Control Optimization 19, 595-603.
    • (1981) SIAM J. Control Optimization , vol.19 , pp. 595-603
    • Aeyels, D.1
  • 3
    • 0001778461 scopus 로고    scopus 로고
    • Dynamics from multivariate time series
    • Cao, L., Mees, A. & Judd, K. 1998 Dynamics from multivariate time series. Physica D 121, 75-88.
    • (1998) Physica D , vol.121 , pp. 75-88
    • Cao, L.1    Mees, A.2    Judd, K.3
  • 4
    • 0040318527 scopus 로고    scopus 로고
    • Scaling and interleaving of sub-system Lyapunov exponents for spatio-temporal systems
    • Carretero-González, R., Ørstavik, S., Huke, J., Broomhead, D. S. & Stark, J. 1999a Scaling and interleaving of sub-system Lyapunov exponents for spatio-temporal systems. Chaos 9, 466-482.
    • (1999) Chaos , vol.9 , pp. 466-482
    • Carretero-González, R.1    Ørstavik, S.2    Huke, J.3    Broomhead, D.S.4    Stark, J.5
  • 6
    • 0000948742 scopus 로고
    • A dynamical systems approach to modelling input-output systems
    • ed. M. Casdagli & S. Eubank. Reading, MA: Addison-Wesley
    • Casdagli, M. 1992 A dynamical systems approach to modelling input-output systems. In Nonlinear modelling and forecasting (ed. M. Casdagli & S. Eubank). Reading, MA: Addison-Wesley.
    • (1992) Nonlinear Modelling and Forecasting
    • Casdagli, M.1
  • 7
    • 0003709269 scopus 로고
    • A new technique for estimating the dynamics in the noise-reduction problem
    • ed. J. M. T. Thompson & S. Bishop, Wiley
    • Davies, M. E. & Stark, J. 1994 A new technique for estimating the dynamics in the noise-reduction problem. In Nonlinearity and chaos in engineering dynamics (ed. J. M. T. Thompson & S. Bishop), pp. 329-344. Wiley.
    • (1994) Nonlinearity and Chaos in Engineering Dynamics , pp. 329-344
    • Davies, M.E.1    Stark, J.2
  • 8
    • 0000999603 scopus 로고
    • Trajectories and orbital maneuvers for the ISEE-3/ICE comet mission
    • Farquhar, R., Muhonen, D. & Church, L. C. 1985 Trajectories and orbital maneuvers for the ISEE-3/ICE comet mission. J. Astronaut. Sci. 33, 235-254.
    • (1985) J. Astronaut. Sci. , vol.33 , pp. 235-254
    • Farquhar, R.1    Muhonen, D.2    Church, L.C.3
  • 10
    • 0000621736 scopus 로고
    • Noise reduction in dynamical systems
    • Kostelich, E. J. & Yorke, J. A. 1988 Noise reduction in dynamical systems. Phys. Rev. A 38, 1649-1652.
    • (1988) Phys. Rev. A , vol.38 , pp. 1649-1652
    • Kostelich, E.J.1    Yorke, J.A.2
  • 12
    • 0000241853 scopus 로고
    • Deterministic non-periodic flows
    • Lorenz, E. N. 1963 Deterministic non-periodic flows. J. Atmos. Sci. 20, 130-141.
    • (1963) J. Atmos. Sci. , vol.20 , pp. 130-141
    • Lorenz, E.N.1
  • 13
    • 0028729292 scopus 로고
    • Delay reconstruction for multiprobe signals
    • Muldoon, M., Broomhead, D. S. & Huke, J. P. 1994 Delay reconstruction for multiprobe signals. IEE Digest 143, 3/1-3/5.
    • (1994) IEE Digest , vol.143 , pp. 31-35
    • Muldoon, M.1    Broomhead, D.S.2    Huke, J.P.3
  • 15
    • 17144445301 scopus 로고    scopus 로고
    • Reconstruction and cross-prediction in coupled map lattices using spatiotemporal embeddings
    • Ørstavik, S. & Stark, J. 1998 Reconstruction and cross-prediction in coupled map lattices using spatiotemporal embeddings. Phys. Lett. A 247, 145-160.
    • (1998) Phys. Lett. A , vol.247 , pp. 145-160
    • Ørstavik, S.1    Stark, J.2
  • 19
    • 0028808395 scopus 로고    scopus 로고
    • Using spatio-temporal chaos and intermediate-scale determinism to quantify spatially extended ecosystems
    • Rand, D. A. & Wilson, H. B. 1997 Using spatio-temporal chaos and intermediate-scale determinism to quantify spatially extended ecosystems. Proc. R. Soc. Lond. B 259, 111-117.
    • (1997) Proc. R. Soc. Lond. B , vol.259 , pp. 111-117
    • Rand, D.A.1    Wilson, H.B.2
  • 20
    • 0006718852 scopus 로고    scopus 로고
    • Phase space embedding of electrocardiograms
    • Richter, M. & Schreiber, T. 1998 Phase space embedding of electrocardiograms. Phys. Rev. E 58, 6392-6398.
    • (1998) Phys. Rev. E , vol.58 , pp. 6392-6398
    • Richter, M.1    Schreiber, T.2
  • 21
    • 0000038026 scopus 로고
    • Large volume limit distribution of characteristic exponents in turbulence
    • Ruelle, D. 1982 Large volume limit distribution of characteristic exponents in turbulence. Comm. Math. Phys. 87, 287-302.
    • (1982) Comm. Math. Phys. , vol.87 , pp. 287-302
    • Ruelle, D.1
  • 23
    • 0000311114 scopus 로고    scopus 로고
    • Signal separation by nonlinear projections: The fetal electrocardiogram
    • Schreiber, T. & Kaplan, D. T. 1996 Signal separation by nonlinear projections: the fetal electrocardiogram. Phys. Rev. E 53, R4326-R4329.
    • (1996) Phys. Rev. E , vol.53
    • Schreiber, T.1    Kaplan, D.T.2
  • 24
    • 0000738499 scopus 로고    scopus 로고
    • Delay embeddings of forced systems. I. Deterministic forcing
    • Stark, J. 1999 Delay embeddings of forced systems. I. Deterministic forcing. J. Nonlinear Sci. 9, 255-332.
    • (1999) J. Nonlinear Sci. , vol.9 , pp. 255-332
    • Stark, J.1
  • 25
    • 0041375087 scopus 로고    scopus 로고
    • Takens embedding theorems for forced and stochastic systems
    • Stark, J., Broomhead, D. S., Davies, M. E. & Huke, J. 1997 Takens embedding theorems for forced and stochastic systems. Nonlinear Analysis 30, 5303-5314.
    • (1997) Nonlinear Analysis , vol.30 , pp. 5303-5314
    • Stark, J.1    Broomhead, D.S.2    Davies, M.E.3    Huke, J.4
  • 26
    • 0000779360 scopus 로고
    • Detecting strange attractors in turbulence
    • Dynamical systems and turbulence, Warwick (ed. D. A. Rand & L.-S. Young). Springer
    • Takens, F. 1980 Detecting strange attractors in turbulence. In Dynamical systems and turbulence, Warwick (ed. D. A. Rand & L.-S. Young). Lecture Notes in Mathematics, no. 898. Springer.
    • (1980) Lecture Notes in Mathematics , vol.898
    • Takens, F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.