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Volumn 85, Issue 16, 2000, Pages 3524-3527

Validity of threshold-crossing analysis of symbolic dynamics from chaotic time series

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMBINATORIAL MATHEMATICS; DYNAMICS; GRAPH THEORY; INFORMATION THEORY; MICROCOMPUTERS; NUMERICAL ANALYSIS; PHASE SPACE METHODS; TIME SERIES ANALYSIS; TOPOLOGY;

EID: 0034300534     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.85.3524     Document Type: Article
Times cited : (66)

References (28)
  • 3
    • 12044253971 scopus 로고
    • S. Hayes, C. Grebogi, and E. Ott, Phys. Rev. Lett. 70, 3031 (1993); E. Rosa, S. Hayes, and C. Grebogi, Phys. Rev. Lett. 78, 1247 (1997); E. Bollt and M. Dolnik, Phys. Rev. E 55, 6404 (1997); E. Bollt, Y.-C. Lai, and C. Grebogi, Phys. Rev. Lett. 79, 3787 (1997); E. Bollt and Y.-C. Lai, Phys. Rev. E 58, 1724 (1998).
    • (1993) Phys. Rev. Lett. , vol.70 , pp. 3031
    • Hayes, S.1    Grebogi, C.2    Ott, E.3
  • 4
    • 0000709933 scopus 로고    scopus 로고
    • S. Hayes, C. Grebogi, and E. Ott, Phys. Rev. Lett. 70, 3031 (1993); E. Rosa, S. Hayes, and C. Grebogi, Phys. Rev. Lett. 78, 1247 (1997); E. Bollt and M. Dolnik, Phys. Rev. E 55, 6404 (1997); E. Bollt, Y.-C. Lai, and C. Grebogi, Phys. Rev. Lett. 79, 3787 (1997); E. Bollt and Y.-C. Lai, Phys. Rev. E 58, 1724 (1998).
    • (1997) Phys. Rev. Lett. , vol.78 , pp. 1247
    • Rosa, E.1    Hayes, S.2    Grebogi, C.3
  • 5
    • 0000687630 scopus 로고    scopus 로고
    • S. Hayes, C. Grebogi, and E. Ott, Phys. Rev. Lett. 70, 3031 (1993); E. Rosa, S. Hayes, and C. Grebogi, Phys. Rev. Lett. 78, 1247 (1997); E. Bollt and M. Dolnik, Phys. Rev. E 55, 6404 (1997); E. Bollt, Y.-C. Lai, and C. Grebogi, Phys. Rev. Lett. 79, 3787 (1997); E. Bollt and Y.-C. Lai, Phys. Rev. E 58, 1724 (1998).
    • (1997) Phys. Rev. E , vol.55 , pp. 6404
    • Bollt, E.1    Dolnik, M.2
  • 6
    • 0031272384 scopus 로고    scopus 로고
    • S. Hayes, C. Grebogi, and E. Ott, Phys. Rev. Lett. 70, 3031 (1993); E. Rosa, S. Hayes, and C. Grebogi, Phys. Rev. Lett. 78, 1247 (1997); E. Bollt and M. Dolnik, Phys. Rev. E 55, 6404 (1997); E. Bollt, Y.-C. Lai, and C. Grebogi, Phys. Rev. Lett. 79, 3787 (1997); E. Bollt and Y.-C. Lai, Phys. Rev. E 58, 1724 (1998).
    • (1997) Phys. Rev. Lett. , vol.79 , pp. 3787
    • Bollt, E.1    Lai, Y.-C.2    Grebogi, C.3
  • 7
    • 0001082245 scopus 로고    scopus 로고
    • S. Hayes, C. Grebogi, and E. Ott, Phys. Rev. Lett. 70, 3031 (1993); E. Rosa, S. Hayes, and C. Grebogi, Phys. Rev. Lett. 78, 1247 (1997); E. Bollt and M. Dolnik, Phys. Rev. E 55, 6404 (1997); E. Bollt, Y.-C. Lai, and C. Grebogi, Phys. Rev. Lett. 79, 3787 (1997); E. Bollt and Y.-C. Lai, Phys. Rev. E 58, 1724 (1998).
    • (1998) Phys. Rev. E , vol.58 , pp. 1724
    • Bollt, E.1    Lai, Y.-C.2
  • 11
    • 0343040265 scopus 로고    scopus 로고
    • F. Christiansen and A. Politi, Phys. Rev. E 51, R3811 (1995); Nonlinearity 9, 1623 (1996).
    • (1996) Nonlinearity , vol.9 , pp. 1623
  • 14
    • 0003031097 scopus 로고    scopus 로고
    • J. Kurths et al., Chaos 5, 88 (1995); M. Lehrman, A. B. Rechester, and R. B. White, Phys. Rev. Lett. 78, 54 (1997); C. S. Daw et al., Phys. Rev. E 57, 2811 (1998); R. Engbert, C. Scheffczyk, R. Krampe, J. Kurths, and R. Kliegl, in Nonlinear Time Series Analysis of Physiological Data (Springer-Verlag, Heidelberg, 1998), pp. 271-282.
    • (1995) Chaos , vol.5 , pp. 88
    • Kurths, J.1
  • 15
    • 0031555597 scopus 로고    scopus 로고
    • J. Kurths et al., Chaos 5, 88 (1995); M. Lehrman, A. B. Rechester, and R. B. White, Phys. Rev. Lett. 78, 54 (1997); C. S. Daw et al., Phys. Rev. E 57, 2811 (1998); R. Engbert, C. Scheffczyk, R. Krampe, J. Kurths, and R. Kliegl, in Nonlinear Time Series Analysis of Physiological Data (Springer-Verlag, Heidelberg, 1998), pp. 271-282.
    • (1997) Phys. Rev. Lett. , vol.78 , pp. 54
    • Lehrman, M.1    Rechester, A.B.2    White, R.B.3
  • 16
    • 0000814490 scopus 로고    scopus 로고
    • J. Kurths et al., Chaos 5, 88 (1995); M. Lehrman, A. B. Rechester, and R. B. White, Phys. Rev. Lett. 78, 54 (1997); C. S. Daw et al., Phys. Rev. E 57, 2811 (1998); R. Engbert, C. Scheffczyk, R. Krampe, J. Kurths, and R. Kliegl, in Nonlinear Time Series Analysis of Physiological Data (Springer-Verlag, Heidelberg, 1998), pp. 271-282.
    • (1998) Phys. Rev. E , vol.57 , pp. 2811
    • Daw, C.S.1
  • 19
    • 51249181291 scopus 로고
    • J. P. Crutchfield and N. H. Packard, Int. J. Theor. Phys. 21, Nos. 6/7, 1982; J. P. Crutchfield and N. H. Packard, Physica (Amsterdam) 7D, 201-223 (1983); C. M. Glenn and S. Hayes, "Targeting Regions of Chaotic Attractors Using Small Perturbation Control of Symbolic Dynamics," Army Research Lab Report No. ARL-TR-903, 1996.
    • (1982) Int. J. Theor. Phys. , vol.21 , Issue.6-7
    • Crutchfield, J.P.1    Packard, N.H.2
  • 20
    • 48749145105 scopus 로고
    • Amsterdam
    • J. P. Crutchfield and N. H. Packard, Int. J. Theor. Phys. 21, Nos. 6/7, 1982; J. P. Crutchfield and N. H. Packard, Physica (Amsterdam) 7D, 201-223 (1983); C. M. Glenn and S. Hayes, "Targeting Regions of Chaotic Attractors Using Small Perturbation Control of Symbolic Dynamics," Army Research Lab Report No. ARL-TR-903, 1996.
    • (1983) Physica , vol.7 D , pp. 201-223
    • Crutchfield, J.P.1    Packard, N.H.2
  • 26
    • 33847566671 scopus 로고    scopus 로고
    • United States Naval Academy report to be published
    • The details of proofs, together with examples illustrating the construction of the sophic shift for symbolic dynamics with misplaced partition, will be published in a future paper with explanation of nonmonotonicity of the topological entropy function by masking functions, issues of nonuniqueness of symbolic sequences, and many other details [E. M. Bollt, T. Stanford, Y.-C. Lai, and K. Życzkowski, United States Naval Academy report available at http://mathweb. mathsci.usna.edu/faculty/bolltem/ (to be published)].
    • Bollt, E.M.1    Stanford, T.2    Lai, Y.-C.3    Zyczkowski, K.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.