Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/4798
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Title: Detecting phase synchronization in noisy data from coupled chaotic oscillators
Authors: Sun, J
Zhang, J
Zhou, J
Xu, X
Small, M
Issue Date: 17-Apr-2008
Source: Physical review. E, Statistical, nonlinear, and soft matter physics, 17 Apr. 2008, v. 77, no. 4, 046213, p. 1-7
Abstract: Two schemes are proposed to detect phase synchronization from chaotic data contaminated by noise. The first is a neighborhood-based method which links time delay embedding with instantaneous phase estimation. The second adopts the local projection method as a preprocessing filter to noisy data. Both schemes utilize the state recurrence, an important feature of chaotic data. The proposed schemes are applied to data measured from two typical chaotic systems, i.e., the coupled Rössler systems and the coupled Lorenz systems, respectively. The results show that phase synchronization, which may be buried by noise, is detected even when the noise level is high. Moreover, the overestimation of the degree of phase synchronization, which may be introduced by the Hilbert transform combined with a traditional linear bandpass filter, can be avoided when the data are contaminated by only measurement noise.
Keywords: Acoustic noise
Chaotic systems
Oscillators (electronic)
Phase measurement
Synchronisation
Time delay
Publisher: American Physical Society
Journal: Physical review. E, Statistical, nonlinear, and soft matter physics 
ISSN: 1539-3755
EISSN: 1550-2376
DOI: 10.1103/PhysRevE.77.046213
Rights: Physical Review E © 2008 The American Physical Society. The Journal's web site is located at http://pre.aps.org/
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