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http://hdl.handle.net/10397/4794
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/ |
Appears in Collections: | Journal/Magazine Article |
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Zhang_Detecting_Chaos_Pseudoperiodic.pdf | 168.45 kB | Adobe PDF | View/Open |
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