메뉴 건너뛰기




Volumn 34, Issue 2, 2007, Pages 509-518

Enhanced box and prism assisted algorithms for computing the correlation dimension

Author keywords

[No Author keywords available]

Indexed keywords

CHAOTIC SYSTEMS; COMPUTATIONAL METHODS; CORRELATION METHODS; ERROR ANALYSIS; INTEGRAL EQUATIONS;

EID: 34147105386     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2006.03.043     Document Type: Article
Times cited : (8)

References (30)
  • 1
    • 0000779360 scopus 로고
    • Detecting strange attractors in turbulence
    • Rand D., and Young L.S. (Eds), Springer, Berlin
    • Takens F. Detecting strange attractors in turbulence. In: Rand D., and Young L.S. (Eds). Dynamical Systems and Turbulence (1981), Springer, Berlin
    • (1981) Dynamical Systems and Turbulence
    • Takens, F.1
  • 4
    • 33646981873 scopus 로고
    • Characterization of strange attractors
    • Grassberger P., and Procaccia I. Characterization of strange attractors. Phys Rev Lett 50 (1983) 346-349
    • (1983) Phys Rev Lett , vol.50 , pp. 346-349
    • Grassberger, P.1    Procaccia, I.2
  • 5
    • 0023486115 scopus 로고
    • The climate attractor over short time scales
    • Essex C., Lockman T., and Nerenberg M.A.H. The climate attractor over short time scales. Nature 326 (1987) 64-66
    • (1987) Nature , vol.326 , pp. 64-66
    • Essex, C.1    Lockman, T.2    Nerenberg, M.A.H.3
  • 6
    • 0022855557 scopus 로고
    • Do climatic attractors exist?
    • Grassberger P. Do climatic attractors exist?. Nature 326 (1986) 609-612
    • (1986) Nature , vol.326 , pp. 609-612
    • Grassberger, P.1
  • 7
    • 0021639689 scopus 로고
    • Is there a climatic attractor?
    • Nicolis C., and Nicolis G. Is there a climatic attractor?. Nature 311 (1984) 529-532
    • (1984) Nature , vol.311 , pp. 529-532
    • Nicolis, C.1    Nicolis, G.2
  • 8
    • 84977719043 scopus 로고
    • Chaos and nonlinear dynamics: applications to financial markets
    • Hsieh D. Chaos and nonlinear dynamics: applications to financial markets. J Finance 46 (1991) 1839-1877
    • (1991) J Finance , vol.46 , pp. 1839-1877
    • Hsieh, D.1
  • 10
    • 34147182261 scopus 로고
    • Belarusian State University Press, Minsk p. 110-20
    • Ulbikas J., and Cenys A. Nonlinear dynamics methods in EEG investigations. Advances in synergetics vol. I (1994), Belarusian State University Press, Minsk p. 110-20
    • (1994) Advances in synergetics , vol.I
    • Ulbikas, J.1    Cenys, A.2
  • 12
    • 24944493570 scopus 로고    scopus 로고
    • Considerations on the application of the chaos paradigm to describe the postural sway
    • Pascolo P., Barazza F., and Carniel R. Considerations on the application of the chaos paradigm to describe the postural sway. Chaos, Solitons & Fractals 27 (2006) 1339-1346
    • (2006) Chaos, Solitons & Fractals , vol.27 , pp. 1339-1346
    • Pascolo, P.1    Barazza, F.2    Carniel, R.3
  • 13
    • 2442568106 scopus 로고    scopus 로고
    • Detection of physiological singularities in respiratory dynamics analyzed by recurrence quantification analysis of tracheal sounds
    • Vena A., Conte E., Perchiazzi G., Federici A., Giuliani R., and Zbilut J.P. Detection of physiological singularities in respiratory dynamics analyzed by recurrence quantification analysis of tracheal sounds. Chaos, Solitons & Fractals 22 (2004) 869-881
    • (2004) Chaos, Solitons & Fractals , vol.22 , pp. 869-881
    • Vena, A.1    Conte, E.2    Perchiazzi, G.3    Federici, A.4    Giuliani, R.5    Zbilut, J.P.6
  • 15
    • 0036604640 scopus 로고    scopus 로고
    • Chaotic and bifurcation dynamics for a simply supported rectangular plate of thermo-mechanical coupling in large deflection
    • Yeh Y.L., Chen C.K., and Lai H.Y. Chaotic and bifurcation dynamics for a simply supported rectangular plate of thermo-mechanical coupling in large deflection. Chaos, Solitons & Fractals 13 (2002) 1493-1506
    • (2002) Chaos, Solitons & Fractals , vol.13 , pp. 1493-1506
    • Yeh, Y.L.1    Chen, C.K.2    Lai, H.Y.3
  • 16
    • 1542290064 scopus 로고    scopus 로고
    • Observation on nonlinear dynamical property of holmium nitrate crystal in low temperature region by measuring time series of ac conductivity
    • Kawashima R., Haruki K., Takigashira N., and Isoda H. Observation on nonlinear dynamical property of holmium nitrate crystal in low temperature region by measuring time series of ac conductivity. Chaos, Solitons & Fractals 21 (2004) 1023-1029
    • (2004) Chaos, Solitons & Fractals , vol.21 , pp. 1023-1029
    • Kawashima, R.1    Haruki, K.2    Takigashira, N.3    Isoda, H.4
  • 17
    • 18544375003 scopus 로고    scopus 로고
    • Characterization of failure mechanism in composite materials through fractal analysis of acoustic emission signals
    • Silva F.E., Gonçalves L.L., Fereira D.B.B., and Rebello J.M.A. Characterization of failure mechanism in composite materials through fractal analysis of acoustic emission signals. Chaos, Solitons & Fractals 26 (2005) 481-494
    • (2005) Chaos, Solitons & Fractals , vol.26 , pp. 481-494
    • Silva, F.E.1    Gonçalves, L.L.2    Fereira, D.B.B.3    Rebello, J.M.A.4
  • 18
    • 0001413326 scopus 로고
    • Spurious dimension from correlation algorithm applied to limited time-series data
    • Theiler J. Spurious dimension from correlation algorithm applied to limited time-series data. Phys Rev A 34 (1986) 2427-2432
    • (1986) Phys Rev A , vol.34 , pp. 2427-2432
    • Theiler, J.1
  • 19
    • 5544310124 scopus 로고
    • Finite correlation dimension for stochastic systems with power-law spectra
    • Osborne A.R., and Provenzale A. Finite correlation dimension for stochastic systems with power-law spectra. Physica D 35 (1989) 357-381
    • (1989) Physica D , vol.35 , pp. 357-381
    • Osborne, A.R.1    Provenzale, A.2
  • 20
    • 0000201862 scopus 로고    scopus 로고
    • Intrinsic limits on dimension calculations
    • Smith L.A. Intrinsic limits on dimension calculations. Phys Lett A 133 (1998) 283-288
    • (1998) Phys Lett A , vol.133 , pp. 283-288
    • Smith, L.A.1
  • 22
    • 0004599587 scopus 로고    scopus 로고
    • Correction of the correlation dimension for noisy time series
    • Kugiumtzis D. Correction of the correlation dimension for noisy time series. Int J Bifurc Chaos 7 (1997) 1283-1294
    • (1997) Int J Bifurc Chaos , vol.7 , pp. 1283-1294
    • Kugiumtzis, D.1
  • 23
    • 0000818930 scopus 로고
    • Efficient algorithm for estimating the correlation dimension from a set of discrete points
    • Theiler J. Efficient algorithm for estimating the correlation dimension from a set of discrete points. Phys Rev A 36 (1987) 4456-4462
    • (1987) Phys Rev A , vol.36 , pp. 4456-4462
    • Theiler, J.1
  • 24
    • 0000442068 scopus 로고
    • A fast algorithm to determine fractal dimensions by box counting
    • Liebovitch L.S., and Toth T. A fast algorithm to determine fractal dimensions by box counting. Phys Lett A 141 (1989) 386-390
    • (1989) Phys Lett A , vol.141 , pp. 386-390
    • Liebovitch, L.S.1    Toth, T.2
  • 25
    • 5544314929 scopus 로고
    • An optimized box-assisted algorithm for fractal dimensions
    • Grassberger P. An optimized box-assisted algorithm for fractal dimensions. Phys Lett A 148 (1990) 63-68
    • (1990) Phys Lett A , vol.148 , pp. 63-68
    • Grassberger, P.1
  • 26
    • 0034516453 scopus 로고    scopus 로고
    • Adaptive box-assisted algorithm for correlation-dimension estimation
    • Corana A. Adaptive box-assisted algorithm for correlation-dimension estimation. Phys Rev E 62 (2000) 7872-7881
    • (2000) Phys Rev E , vol.62 , pp. 7872-7881
    • Corana, A.1
  • 27
    • 0035948199 scopus 로고    scopus 로고
    • An efficient algorithm to determine fractal dimensions of point sets
    • Fuchslin R.M., Shen Y., and Meier P.F. An efficient algorithm to determine fractal dimensions of point sets. Phys Lett A 285 (2001) 69-75
    • (2001) Phys Lett A , vol.285 , pp. 69-75
    • Fuchslin, R.M.1    Shen, Y.2    Meier, P.F.3
  • 28
    • 0000712818 scopus 로고
    • Multidimensional trees, range searching, and a correlation dimension algorithm of reduced complexity
    • Bingham S., and Kot M. Multidimensional trees, range searching, and a correlation dimension algorithm of reduced complexity. Phys Lett A 140 (1989) 327-330
    • (1989) Phys Lett A , vol.140 , pp. 327-330
    • Bingham, S.1    Kot, M.2
  • 29
    • 12944259200 scopus 로고
    • Efficient neighbor searching in nonlinear time-series analysis
    • Schreiber T. Efficient neighbor searching in nonlinear time-series analysis. Int J Bifurc Chaos 5 (1995) 349-358
    • (1995) Int J Bifurc Chaos , vol.5 , pp. 349-358
    • Schreiber, T.1
  • 30
    • 21344484038 scopus 로고
    • Statistical error in a chord estimator of correlation dimension: the rule of five
    • Theiler J. Statistical error in a chord estimator of correlation dimension: the rule of five. Int J Bifurc Chaos 3 (1993) 765-771
    • (1993) Int J Bifurc Chaos , vol.3 , pp. 765-771
    • Theiler, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.