Spurious detection of phase synchronization in coupled nonlinear oscillators

Coupled nonlinear systems under certain conditions exhibit phase synchronization, which may change for different frequency bands or with the presence of additive system noise. In both cases, Fourier filtering is traditionally used to preprocess data. We investigate to what extent the phase synchroni...

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Bibliographic Details
Published in:Physical review. E, Statistical, nonlinear, and soft matter physics Statistical, nonlinear, and soft matter physics, 2006-06, Vol.73 (6 Pt 2), p.065201-065201, Article 065201
Main Authors: Xu, Limei, Chen, Zhi, Hu, Kun, Stanley, H Eugene, Ivanov, Plamen Ch
Format: Article
Language:English
Subjects:
Biophysics - methods
Computer Simulation
Fourier Analysis
Nonlinear Dynamics
Oscillometry - methods
Physics - methods
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Summary:Coupled nonlinear systems under certain conditions exhibit phase synchronization, which may change for different frequency bands or with the presence of additive system noise. In both cases, Fourier filtering is traditionally used to preprocess data. We investigate to what extent the phase synchronization of two coupled Rössler oscillators depends on (1) the broadness of their power spectrum, (2) the width of the bandpass filter, and (3) the level of added noise. We find that for identical coupling strengths, oscillators with broader power spectra exhibit weaker synchronization. Further, we find that within a broad bandwidth range, bandpass filtering reduces the effect of noise but can lead to a spurious increase in the degree of phase synchronization with narrowing bandwidth, even when the coupling between the two oscillators remains the same.
ISSN:1539-3755
1550-2376
DOI:10.1103/PhysRevE.73.065201