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

Tian, Yu-Chu & 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.

Impact and interest:

24 citations in Scopus
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27 citations in Web of Science®

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ID Code: 1567
Item Type: Journal Article
Additional Information: For more information, please refer to the journal’s website (see hypertext link) or contact the author.
Keywords: chaos, time series, delay, entropy, attractors
DOI: 10.1016/S0167-2789(97)82008-8
ISSN: 0167-2789
Subjects: Australian and New Zealand Standard Research Classification > ENGINEERING (090000) > ELECTRICAL AND ELECTRONIC ENGINEERING (090600) > Signal Processing (090609)
Australian and New Zealand Standard Research Classification > PHYSICAL SCIENCES (020000) > OTHER PHYSICAL SCIENCES (029900) > Physical Sciences not elsewhere classified (029999)
Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > PURE MATHEMATICS (010100) > Ordinary Differential Equations Difference Equations and Dynamical Systems (010109)
Divisions: Past > QUT Faculties & Divisions > Faculty of Science and Technology
Copyright Owner: Copyright 1997 Elsevier
Deposited On: 25 Jan 2008
Last Modified: 15 Jan 2009 16:40

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