Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/4794
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Title: Detecting chaos in pseudoperiodic time series without embedding
Authors: Zhang, J
Luo, X
Small, M
Issue Date: 24-Jan-2006
Source: 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.
Keywords: Acoustic noise
Chaos theory
Data acquisition
Reliability
Chaos
Encoding
Spatiotemporal phenomena
Time series
Publisher: American Physical Society
Journal: Physical review. E, Statistical, nonlinear, and soft matter physics 
ISSN: 1539-3755
EISSN: 1550-2376
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/
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