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Volumn 90, Issue 1-2, 1996, Pages 40-55

The topological invariance of Lyapunov exponents in embedded dynamics

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EID: 4244149447     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/0167-2789(95)00225-1     Document Type: Article
Times cited : (26)

References (32)
  • 1
    • 0000339204 scopus 로고
    • Variation of Lyapunov exponents on a strange attractor
    • H.D.I. Abarbanel, R. Brown and M.B. Kennel, Variation of Lyapunov exponents on a strange attractor, J. Nonlin. Sci. 1 (1991) 175-199.
    • (1991) J. Nonlin. Sci. , vol.1 , pp. 175-199
    • Abarbanel, H.D.I.1    Brown, R.2    Kennel, M.B.3
  • 2
    • 0001731208 scopus 로고
    • Lyapunov exponents in chaotic systems: Their importance and their evaluation using observed data
    • H.D.I. Abarbanel, R. Brown, M.B. Kennel, Lyapunov exponents in chaotic systems: Their importance and their evaluation using observed data, Int. J. Mod. Phys. B 5 (1991) 1347-1375.
    • (1991) Int. J. Mod. Phys. B , vol.5 , pp. 1347-1375
    • Abarbanel, H.D.I.1    Brown, R.2    Kennel, M.B.3
  • 3
    • 34249834828 scopus 로고
    • Local Lyapunov exponents computed from observed data
    • H.D.I. Abarbanel, R. Brown and M.B. Kennel, Local Lyapunov exponents computed from observed data, J. Nonlin. Sci. 2 (1992) 343-365.
    • (1992) J. Nonlin. Sci. , vol.2 , pp. 343-365
    • Abarbanel, H.D.I.1    Brown, R.2    Kennel, M.B.3
  • 4
    • 0002904424 scopus 로고
    • An improved method for estimating Liapunov exponents of chaotic data
    • K. Briggs, An improved method for estimating Liapunov exponents of chaotic data, Phys. Lett. A 151 (1993) 27-32.
    • (1993) Phys. Lett. A , vol.151 , pp. 27-32
    • Briggs, K.1
  • 5
    • 46149128981 scopus 로고
    • Distinguishing random and deterministic systems: Abridged version
    • W.A. Brock, Distinguishing random and deterministic systems: Abridged version, J. Econ. Theor. 40 (1986) 168-195.
    • (1986) J. Econ. Theor. , vol.40 , pp. 168-195
    • Brock, W.A.1
  • 6
    • 0002962834 scopus 로고
    • Is the business cycle characterized by deterministic chaos?
    • W. Brock and C. Sayers, Is the business cycle characterized by deterministic chaos?, J. Monet. Econ. 22 (1988) 71-90.
    • (1988) J. Monet. Econ. , vol.22 , pp. 71-90
    • Brock, W.1    Sayers, C.2
  • 7
    • 35949009462 scopus 로고
    • Computing the Lyapunov spectrum of a dynamical system from an observed time series
    • R. Brown, P. Bryant and H.D.I. Abarbanel, Computing the Lyapunov spectrum of a dynamical system from an observed time series, Phys. Rev. A 43 (1991) 2787-2806.
    • (1991) Phys. Rev. A , vol.43 , pp. 2787-2806
    • Brown, R.1    Bryant, P.2    Abarbanel, H.D.I.3
  • 8
    • 84956086294 scopus 로고
    • Lyapunov spectrum of the maps generating indentical attractors
    • A. Cenys, Lyapunov spectrum of the maps generating indentical attractors, Europhys. Lett. 21 (1993) 407-411.
    • (1993) Europhys. Lett. , vol.21 , pp. 407-411
    • Cenys, A.1
  • 10
    • 84986409797 scopus 로고
    • Lyapunov exponents as a nonparametric diagnostic for stability analysis
    • W.D. Dechert and R. Gençay, Lyapunov exponents as a nonparametric diagnostic for stability analysis, J. Appl. Econometr. 7 (1992) S41-S60.
    • (1992) J. Appl. Econometr. , vol.7
    • Dechert, W.D.1    Gençay, R.2
  • 13
    • 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 (1985) 617-656.
    • (1985) Rev. Mod. Phys. , vol.57 , pp. 617-656
    • Eckmann, J.-P.1    Ruelle, D.2
  • 14
    • 0001414087 scopus 로고
    • Convergence rates and data requirements for the Jacobian-based estimates of Lyapunov exponents from data
    • S. Ellner, A.R. Gallant, D.F. McGaffrey and D. Nychka, Convergence rates and data requirements for the Jacobian-based estimates of Lyapunov exponents from data, Phys. Lett. A 153 (1991) 357-363.
    • (1991) Phys. Lett. A , vol.153 , pp. 357-363
    • Ellner, S.1    Gallant, A.R.2    McGaffrey, D.F.3    Nychka, D.4
  • 15
    • 38249030082 scopus 로고
    • The stability of Canadian macroeconomic data as measured by the largest Lyapunov exponent
    • M. Frank and T. Stengos, The stability of Canadian macroeconomic data as measured by the largest Lyapunov exponent, Econ. Lett. 27 (1988) 11-14.
    • (1988) Econ. Lett. , vol.27 , pp. 11-14
    • Frank, M.1    Stengos, T.2
  • 17
    • 0001052370 scopus 로고
    • Nonlinear prediction of noisy time series with feedforward networks
    • R. Gençay, Nonlinear prediction of noisy time series with feedforward networks, Phys. Lett. A 187 (1994) 397-403.
    • (1994) Phys. Lett. A , vol.187 , pp. 397-403
    • Gençay, R.1
  • 18
    • 0000547548 scopus 로고
    • An algorithm for the n Lyapunov exponents of an n-dimensional unknown dynamical system
    • R. Gençay and W.D. Dechert, An algorithm for the n Lyapunov exponents of an n-dimensional unknown dynamical system, Physica D 59 (1992) 142-157.
    • (1992) Physica D , vol.59 , pp. 142-157
    • Gençay, R.1    Dechert, W.D.2
  • 20
    • 0001571275 scopus 로고
    • An attractor in a solar time series
    • J. Kurths and H. Herzel, An attractor in a solar time series, Physica D 25 (1987) 165-172.
    • (1987) Physica D , vol.25 , pp. 165-172
    • Kurths, J.1    Herzel, H.2
  • 21
    • 0003290175 scopus 로고
    • On the dimension of the compact invariant sets of certain nonlinear maps
    • Dynamical Systems and Turbulence, D. Rand and L.S. Young, eds., Springer, Berlin
    • R. Mañé, On the dimension of the compact invariant sets of certain nonlinear maps, in: Dynamical Systems and Turbulence, D. Rand and L.S. Young, eds., Lecture Notes in Mathematics, Vol. 898 (Springer, Berlin, 1981).
    • (1981) Lecture Notes in Mathematics , vol.898
    • Mañé, R.1
  • 23
    • 0000543733 scopus 로고
    • A multiplicative ergodic theorem. Liapunov characteristic numbers for dynamical system
    • V.I. Oseledec, A multiplicative ergodic theorem. Liapunov characteristic numbers for dynamical system, Trans. Moscow Math.Soc. 19 (1968) 197-221.
    • (1968) Trans. Moscow Math.Soc. , vol.19 , pp. 197-221
    • Oseledec, V.I.1
  • 24
    • 0000905883 scopus 로고
    • Identification of true and spurious Lyapunov exponents from time series
    • U. Parlitz, Identification of true and spurious Lyapunov exponents from time series, Int. J. Bifurc. Chaos 2 (1994) 155-165.
    • (1994) Int. J. Bifurc. Chaos , vol.2 , pp. 155-165
    • Parlitz, U.1
  • 25
    • 0000343431 scopus 로고
    • A proof of Oseledec's multiplicative ergodic theorem
    • M.S. Raghunathan, A proof of Oseledec's multiplicative ergodic theorem, Israel J. Math. 32 (1979) 356-362.
    • (1979) Israel J. Math. , vol.32 , pp. 356-362
    • Raghunathan, M.S.1
  • 26
    • 51649166261 scopus 로고
    • Ergodic theory of differentiable dynamical systems
    • D. Ruelle, Ergodic theory of differentiable dynamical systems, Publ. Math. Inst. Hautes Etudes Sci. 50 (1979) 27-58.
    • (1979) Publ. Math. Inst. Hautes Etudes Sci. , vol.50 , pp. 27-58
    • Ruelle, D.1
  • 27
    • 0001394076 scopus 로고
    • Measurement of Lyapunov spectrum from a chaotic time series
    • M. Sano and Y. Sawada, Measurement of Lyapunov spectrum from a chaotic time series, Phys. Rev. Lett. 55 (1985) 1082-1085.
    • (1985) Phys. Rev. Lett. , vol.55 , pp. 1082-1085
    • Sano, M.1    Sawada, Y.2
  • 29
    • 0000779360 scopus 로고
    • Detecting strange attractors in turbulence
    • Dynamical Systems and Turbulence, D. Rand and L.S. Young, eds., Springer, Berlin
    • F. Takens, Detecting strange attractors in turbulence, in: Dynamical Systems and Turbulence, D. Rand and L.S. Young, eds., Lecture Notes in Mathematics, Vol. 898 (Springer, Berlin, 1981).
    • (1981) Lecture Notes in Mathematics , vol.898
    • Takens, F.1
  • 30
    • 0008494528 scopus 로고
    • Determining Lyapunov exponents from a time series
    • A. Wolf, B. Swift, J. Swinney and J. Vastano, Determining Lyapunov exponents from a time series, Physica D 16 (1985) 285-317.
    • (1985) Physica D , vol.16 , pp. 285-317
    • Wolf, A.1    Swift, B.2    Swinney, J.3    Vastano, J.4
  • 31
    • 0000213709 scopus 로고
    • Estimating the Lyapunov exponent spectrum from short time series of low precision
    • X. Zeng, R. Eykholt and R.A. Pielke, Estimating the Lyapunov exponent spectrum from short time series of low precision, Phys. Rev. Lett. 66 (1991) 3229-3232.
    • (1991) Phys. Rev. Lett. , vol.66 , pp. 3229-3232
    • Zeng, X.1    Eykholt, R.2    Pielke, R.A.3
  • 32
    • 0040417704 scopus 로고
    • Extracting Lyapunov exponents from short time series of low precision
    • X. Zeng, R. Eykholt and R.A. Pielke, Extracting Lyapunov exponents from short time series of low precision, Mod. Phys. Lett. B 6 (1992) 55-75.
    • (1992) Mod. Phys. Lett. B , vol.6 , pp. 55-75
    • Zeng, X.1    Eykholt, R.2    Pielke, R.A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.