CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 1999, Vol. 16 ›› Issue (3): 309-315.

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Computing fractal dimension and the kolmogorov entropy from chaotic time series

Zhao Guibing, Shi Yanfu, Duan Wenfeng, Yu Huarui   

  1. Department of Chemical Engineering, Sichuan Union University, Chengdu 610065
  • Received:1998-01-21 Revised:1998-10-14 Online:1999-05-25 Published:1999-05-25

Abstract: On the basis of the G-P algorithm it proposes an optimal algorithm for computing simultaneously the correlation dimension and the Kolmogorov entropy from time series.The correlation dimension obtained from this method is optimal and the stable estimation of the Kolmogorov entropy is also obtained.The applicability of the method is illustrated with two examples,viz.,the Lorenz attractor and Rossler attractor.

Key words: time series, correlation dimension, Kolmogorov entropy, algorithm

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