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

& 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.

View at publisher

Description

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:

50 citations in Scopus
44 citations in Web of Science®
Search Google Scholar™

Citation counts are sourced monthly from Scopus and Web of Science® citation databases.

These databases contain citations from different subsets of available publications and different time periods and thus the citation count from each is usually different. Some works are not in either database and no count is displayed. Scopus includes citations from articles published in 1996 onwards, and Web of Science® generally from 1980 onwards.

Citations counts from the Google Scholar™ indexing service can be viewed at the linked Google Scholar™ search.

ID Code: 1567
Item Type: Contribution to Journal (Journal Article)
Refereed: Yes
ORCID iD:
Tian, Yu-Chuorcid.org/0000-0002-8709-5625
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
Pure ID: 60070302
Divisions: Past > QUT Faculties & Divisions > Faculty of Science and Technology
Past > Research Centres > CRC for Diagnostics
Copyright Owner: Copyright 1997 Elsevier
Copyright Statement: This work is covered by copyright. Unless the document is being made available under a Creative Commons Licence, you must assume that re-use is limited to personal use and that permission from the copyright owner must be obtained for all other uses. If the document is available under a Creative Commons License (or other specified license) then refer to the Licence for details of permitted re-use. It is a condition of access that users recognise and abide by the legal requirements associated with these rights. If you believe that this work infringes copyright please provide details by email to qut.copyright@qut.edu.au
Deposited On: 25 Jan 2008 00:00
Last Modified: 03 Mar 2024 18:26