메뉴 건너뛰기




Volumn 16, Issue 1, 2006, Pages

Geometric noise reduction for multivariate time series

Author keywords

[No Author keywords available]

Indexed keywords


EID: 33645685430     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2151159     Document Type: Article
Times cited : (7)

References (28)
  • 2
    • 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, 1752-1763 (1993).
    • (1993) Phys. Rev. E , vol.48 , pp. 1752-1763
    • Kostelich, E.J.1    Schreiber, T.2
  • 3
    • 0000982546 scopus 로고
    • Noise reduction schemes for chaotic time series
    • M. Davies, " Noise reduction schemes for chaotic time series., " Physica D 79, 174-192 (1994).
    • (1994) Physica D , vol.79 , pp. 174-192
    • Davies, M.1
  • 4
    • 17044390878 scopus 로고
    • Noise reduction: Finding the simplest dynamical system consistent with the data
    • E. J. Kostelich and J. A. Yorke, " Noise reduction: Finding the simplest dynamical system consistent with the data., " Physica D 41, 183-196 (1990).
    • (1990) Physica D , vol.41 , pp. 183-196
    • Kostelich, E.J.1    Yorke, J.A.2
  • 5
    • 0000775422 scopus 로고
    • Local-geometric-projection method for noise reduction in chaotic maps and flows
    • R. Cawley and G. -H. Hsu, " Local-geometric-projection method for noise reduction in chaotic maps and flows., " Phys. Rev. A 46, 3057-3082 (1992).
    • (1992) Phys. Rev. A , vol.46 , pp. 3057-3082
    • Cawley, R.1    Hsu, G.-H.2
  • 6
    • 0000097854 scopus 로고
    • A simple noise-reduction method for real data
    • T. Schreiber and P. Grassberger, " A simple noise-reduction method for real data., " Phys. Lett. A 160, 411-418 (1991).
    • (1991) Phys. Lett. A , vol.160 , pp. 411-418
    • Schreiber, T.1    Grassberger, P.2
  • 7
    • 1842535443 scopus 로고    scopus 로고
    • An adaptive way for improving noise reduction using local geometric projection
    • A. Leontitsis, T. Bountis, and J. Pagge, " An adaptive way for improving noise reduction using local geometric projection., " Chaos 14, 106-110 (2004).
    • (2004) Chaos , vol.14 , pp. 106-110
    • Leontitsis, A.1    Bountis, T.2    Pagge, J.3
  • 8
    • 0141551545 scopus 로고
    • edited by D. A.Rang and L. S.Young Lecture Notes in Mathematics Springer, New York
    • F. Takens, in Dynamical Systems and Turbulence, edited by, D. A. Rang, and, L. S. Young, Lecture Notes in Mathematics 898 (Springer, New York, 1981), p. 396.
    • (1981) Dynamical Systems and Turbulence , vol.898 , pp. 396
    • Takens, F.1
  • 9
    • 0001261685 scopus 로고
    • A noise reduction method for chaotic systems
    • S. M. Hammel, " A noise reduction method for chaotic systems., " Phys. Lett. A 148, 421-428 (1990).
    • (1990) Phys. Lett. A , vol.148 , pp. 421-428
    • Hammel, S.M.1
  • 10
    • 44949279497 scopus 로고
    • Optimal shadowing and noise reduction
    • J. D. Farmer and J. Sidorowich, " Optimal shadowing and noise reduction., " Physica D 47, 373-392 (1991).
    • (1991) Physica D , vol.47 , pp. 373-392
    • Farmer, J.D.1    Sidorowich, J.2
  • 11
    • 0035376974 scopus 로고    scopus 로고
    • Efficient noncausal noise reduction for deterministic time series
    • J. Bröcker and U. Parlitz, " Efficient noncausal noise reduction for deterministic time series., " Chaos 11, 319-326 (2001).
    • (2001) Chaos , vol.11 , pp. 319-326
    • Bröcker, J.1    Parlitz, U.2
  • 12
    • 0001300739 scopus 로고
    • Markov partitions for Axiom A diffeomorphisms
    • R. Bowen, " Markov partitions for Axiom A diffeomorphisms., " Am. J. Math. 92, 725-747 (1970).
    • (1970) Am. J. Math. , vol.92 , pp. 725-747
    • Bowen, R.1
  • 13
    • 45949120176 scopus 로고
    • Do numerical orbits of chaotic process represent true orbits?
    • S. M. Hammel, J. A. Yorke, and C. Gregobi, " Do numerical orbits of chaotic process represent true orbits?, " J. Complex. 3, 136-145 (1987).
    • (1987) J. Complex. , vol.3 , pp. 136-145
    • Hammel, S.M.1    Yorke, J.A.2    Gregobi, C.3
  • 14
    • 0005533625 scopus 로고    scopus 로고
    • Lecture Notes in Mathematics Springer, New York
    • S. Y. Pilyugin, Shadowing in Dynamical Systems, Lecture Notes in Mathematics 1706 (Springer, New York, 1999).
    • (1999) Shadowing in Dynamical Systems , vol.1706
    • Pilyugin, S.Y.1
  • 15
    • 38249010191 scopus 로고
    • A noise reduction method for multivariate time series
    • R. Hegger and T. Schreiber, " A noise reduction method for multivariate time series., " Phys. Lett. A 170, 305-310 (1992).
    • (1992) Phys. Lett. A , vol.170 , pp. 305-310
    • Hegger, R.1    Schreiber, T.2
  • 16
    • 0000621736 scopus 로고
    • Noise reduction in dynamical systems
    • E. J. Kostelich and J. A. Yorke, " Noise reduction in dynamical systems., " Phys. Rev. A 38, 1649-1652 (1988).
    • (1988) Phys. Rev. A , vol.38 , pp. 1649-1652
    • Kostelich, E.J.1    Yorke, J.A.2
  • 18
    • 0001128249 scopus 로고    scopus 로고
    • Unbiased reconstruction of the dynamics underlying a noisy time series
    • L. Jaeger and H. Kantz, " Unbiased reconstruction of the dynamics underlying a noisy time series., " Chaos 6, 449-450 (1996).
    • (1996) Chaos , vol.6 , pp. 449-450
    • Jaeger, L.1    Kantz, H.2
  • 19
    • 0001086311 scopus 로고    scopus 로고
    • Better nonlinear models from noisy data: Attractors with maximum likelihood
    • P. E. McSharry and L. A. Smith, " Better nonlinear models from noisy data: attractors with maximum likelihood., " Phys. Rev. Lett. 83, 4285-4288 (1999).
    • (1999) Phys. Rev. Lett. , vol.83 , pp. 4285-4288
    • McSharry, P.E.1    Smith, L.A.2
  • 20
    • 33846904334 scopus 로고    scopus 로고
    • Statistical methods of parameter estimation for deterministically chaotic time series
    • V. F. Pisarenko and D. Sornette, " Statistical methods of parameter estimation for deterministically chaotic time series., " Phys. Rev. E 69, 036122 (2004).
    • (2004) Phys. Rev. E , vol.69 , pp. 036122
    • Pisarenko, V.F.1    Sornette, D.2
  • 21
    • 0034270549 scopus 로고    scopus 로고
    • Bayesian reconstruction of chaotic dynamical systems
    • R. Meyer and N. Christensen, " Bayesian reconstruction of chaotic dynamical systems., " Phys. Rev. E 62, 3535-3542 (2000).
    • (2000) Phys. Rev. E , vol.62 , pp. 3535-3542
    • Meyer, R.1    Christensen, N.2
  • 22
    • 0038396297 scopus 로고    scopus 로고
    • Chaotic-time-series reconstruction by Bayesian paradigm: Right results by wrong methods
    • K. Judd, " Chaotic-time-series reconstruction by Bayesian paradigm: Right results by wrong methods., " Phys. Rev. E 67, 026212 (2003).
    • (2003) Phys. Rev. E , vol.67 , pp. 026212
    • Judd, K.1
  • 23
    • 44049113048 scopus 로고
    • A noise reduction method for signals from nonlinear systems
    • T. Sauer, " A noise reduction method for signals from nonlinear systems., " Physica D 58, 193-201 (1992).
    • (1992) Physica D , vol.58 , pp. 193-201
    • Sauer, T.1
  • 26
    • 0034385428 scopus 로고    scopus 로고
    • Convergence of the Eckmann and Ruelle algorithm for the estimation of the Lyapunov exponents
    • M. E. Mera and M. Morán, " Convergence of the Eckmann and Ruelle algorithm for the estimation of the Lyapunov exponents., " Ergod. Theory Dyn. Syst. 20, 531-546 (2000).
    • (2000) Ergod. Theory Dyn. Syst. , vol.20 , pp. 531-546
    • Mera, M.E.1    Morán, M.2
  • 27
    • 0036110877 scopus 로고    scopus 로고
    • Degrees of freedom of a time series
    • M. E. Mera and M. Morán, " Degrees of freedom of a time series., " J. Stat. Phys. 106, 125-145 (2002).
    • (2002) J. Stat. Phys. , vol.106 , pp. 125-145
    • Mera, M.E.1    Morán, M.2
  • 28
    • 0034400267 scopus 로고    scopus 로고
    • Projective noise cleaning with dynamic neighborhood selection
    • A. Kern, W. -H. Steeb, and R. Stoop, " Projective noise cleaning with dynamic neighborhood selection., " Int. J. Mod. Phys. C 11, 125-146 (2000).
    • (2000) Int. J. Mod. Phys. C , vol.11 , pp. 125-146
    • Kern, A.1    Steeb, W.-H.2    Stoop, R.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.