PolyU IR
 

PolyU Institutional Repository >
Electronic and Information Engineering >
EIE Journal/Magazine Articles >

Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/4794

Title: Detecting chaos in pseudoperiodic time series without embedding
Authors: Zhang, Jie
Luo, X.
Small, Michael
Subjects: Acoustic noise
Chaos theory
Data acquisition
Reliability
Chaos
Encoding
Spatiotemporal phenomena
Time series
Issue Date: 24-Jan-2006
Publisher: American Physical Society
Citation: Physical review E, statistical, nonlinear, and soft matter physics, Jan. 2006, v. 73, no. 1, 016216, p. 1-5.
Abstract: A different method is proposed to detect deterministic structure from a pseudoperiodic time series. By using the correlation coefficient as a measure of the distance between cycles, we are exempt from phase-space reconstruction and further construct a hierarchy of pseudocycle series that, in turn, preserve less determinism than the original time series. Appropriate statistics are then devised to reveal the temporal and spatial correlation encoded in this hierarchy of the pseudocycle series, which allows for a reliable detection of determinism and chaos in the original time series. We demonstrate that this method can reliably identify chaos in the presence of noise of different sources for both artificial data and experimental time series.
Description: DOI: 10.1103/PhysRevE.73.016216
Rights: Physical Review E © 2006 The American Physical Society. The Journal's web site is located at http://pre.aps.org/
Type: Journal/Magazine Article
URI: http://hdl.handle.net/10397/4794
ISSN: 1539-3755 (print)
1550-2376 (online)
Appears in Collections:EIE Journal/Magazine Articles

Files in This Item:

File Description SizeFormat
Zhang_Detecting_Chaos_Pseudoperiodic.pdf168.45 kBAdobe PDFView/Open



Facebook Facebook del.icio.us del.icio.us LinkedIn LinkedIn


All items in the PolyU Institutional Repository are protected by copyright, with all rights reserved, unless otherwise indicated.
No item in the PolyU IR may be reproduced for commercial or resale purposes.

 

© Pao Yue-kong Library, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong
Powered by DSpace (Version 1.5.2)  © MIT and HP
Feedback | Privacy Policy Statement | Copyright & Restrictions - Feedback