Please use this identifier to cite or link to this item:
Title: Detecting phase synchronization in noisy data from coupled chaotic oscillators
Authors: Sun, Junfeng
Zhang, Jie
Zhou, Jin
Xu, Xiaoke
Small, Michael
Subjects: Acoustic noise
Chaotic systems
Oscillators (electronic)
Phase measurement
Time delay
Issue Date: 17-Apr-2008
Publisher: American Physical Society
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.
Rights: Physical Review E © 2008 The American Physical Society. The Journal's web site is located at
Type: Journal/Magazine Article
DOI: 10.1103/PhysRevE.77.046213
ISSN: 1539-3755 (print)
1550-2376 (online)
Appears in Collections:EIE Journal/Magazine Articles

Files in This Item:
File Description SizeFormat 
Sun_Detecting_Temporal_Pseudoperiodic.pdf519.05 kBAdobe PDFView/Open

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.