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Volume 20 Issue 5
Aug.  2021
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Article Contents
Liao Ming, Zhang Wenming, Fang Mei, Feng Yali. Discriminating Fractals In Time Series[J]. Chinese Journal of Engineering, 1998, 20(5): 412-416. doi: 10.13374/j.issn1001-053x.1998.05.002
Citation: Liao Ming, Zhang Wenming, Fang Mei, Feng Yali. Discriminating Fractals In Time Series[J]. Chinese Journal of Engineering, 1998, 20(5): 412-416. doi: 10.13374/j.issn1001-053x.1998.05.002

Discriminating Fractals In Time Series

doi: 10.13374/j.issn1001-053x.1998.05.002
  • Received Date: 1997-10-30
    Available Online: 2021-08-27
  • Fractal theory is a new method to apply in time series analysis, but how to discriminate fractal time series from non-fractal time series is ambiguous. Several Parame-ters, such as Poincare map, Lyapunov exponent, correlation dimension, power spectrum density and Hunt exponent, are used to recognize if the time series are fractals. The relia-bilities of the parameters used above arc compared. If the dynamic system is known, it's fit to use the Poincare map and Lyapunov exponent; while if the dynamic system is unknown, it, s fit to use the power spectrum density and Hurst exponent. At last, the range of fractals applying in time series analysis is sketched.

     

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