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Extraction of delay information from chaotic time series based on information entropy

Tian, Yu-Chu and Gao, Furong (1997) Extraction of delay information from chaotic time series based on information entropy. Physica D: Nonlinear Phenomena 108(1-2):pp. 113-118.

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Abstract

Using information entropy and embedding methods for reconstructing chaotic attractors, a technique for estimating time delay from experimental time data is proposed for chaotic systems governed by a delay differential equation. The effectiveness of the proposed approach is demonstrated with numerical experiments with and without measurement noise. The quantization effect on information entropy is also discussed. The number of quantization levels is found not to effect the accuracy of the proposed delay extraction technique significantly.

Item Type:Journal Article
Status:Published
Keywords:chaos; time series; delay; entropy; attractors
Subjects:280000 Information, Computing and Communication Sciences > 280200 Artificial Intelligence and Signal and Image Processing > 280204 Signal Processing
240000 Physical Sciences > 249900 Other Physical Sciences > 249999 Physical Sciences not elsewhere classified
230000 Mathematical Sciences > 230100 Mathematics > 230113 Dynamical Systems
ID Code:1567
Deposited By:Tian, Yu-Chu
Deposited On:25 January 2008
Alternative Locations:http://dx.doi.org/10.1016/S0167-2789(97)82008-8
Copyright Owner:Copyright 1997 Elsevier
Additional Information:For more information, please refer to the journal’s website (see hypertext link) or contact the author.