Research on the Phase Space Reconstruction Method of Chaotic Time Series


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The puzzle over the recognition of the quality of the Chaotic Dynamics based on single variable time series brings forward the new method of phase space reconstruction—identify the embedding dimension with the FNN after delay time is fixed through the method of autocorrelation function. By means of the numerical verification of a few typical examples of chaotic dynamic system, the result shows that this method can be able to efficiently reconstruct the phase space of the original system out of the time series and relatively completely reduce the dynamic characteristics of the original system and thus the validity of the method is testified on chaotic signal recognition.



Edited by:

Zhenyu Du and Bin Liu




Y. F. Ma et al., "Research on the Phase Space Reconstruction Method of Chaotic Time Series", Applied Mechanics and Materials, Vols. 26-28, pp. 236-240, 2010

Online since:

June 2010




[1] Jiang W L, Zhang S Q, Wang Y Q: �umerical Experimental Analysis For Chaotic Motion Characteristics Chinese Journal of Mechanical Engineering. Vol. 36, 13(2000): 208-212.

[2] Han M: Chaotic Time Series Prediction Theory and Method Vo1. 1(Chinese Water Resources and Hydropower Publications, China, 2007).

[3] Jiang W L, Zhang S Q, Wang Y Q : Chaos and Wavelet Based Fault Information Diagnosis (National Defence Industry Publications, China, 2005).

[4] M J OGORZALEK, H DEDIEU: Chaotic Signal Processing via Unstable Cycle Extraction. Proceedings ICASSP. IEEE International Conference on Acoustics, Speech and Signal Processing, Vol3, 31, 1994: 521-524.

DOI: 10.1109/icassp.1994.389975

[5] Xiao F H, Yan G R, Han Y H: A Symbolic Dynamics Approach For The Complexity Analysis Of Chaotic Pseudo-Random Sequences Acta Phys. Sin. (2004).

[6] Cao L Y: Practical method for determining the minimum embedding dimension of a scalar time series Physica D Vol 10, 43(2007).

[7] Yu W B: Calculate Experiment and Analysis on Chaos (Science Publications, China, 2008).

[8] Xiao F H, Yan G R, Han Y H: Information Theory Approach To Determine Embedding Parameters For Phase Space Reconstruction Of Chaotic Time Series Acta Phys. Sin. 54 0545(2005).

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