Physics – Data Analysis – Statistics and Probability
Scientific paper
2006-04-05
Phys. Rev. E 73, 065201(R) (2006)
Physics
Data Analysis, Statistics and Probability
4 pages,6 figures
Scientific paper
10.1103/PhysRevE.73.065201
Coupled nonlinear systems under certain conditions exhibit phase synchronization, which may change for different frequency bands or with 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 R\"{o}ssler oscillators depends on (1) the broadness of their power spectrum, (2) the width of the band-pass 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 band width range, band-pass filtering reduces the effect of noise but can lead to a spurious increase in the degree of synchronization with narrowing band width, even when the coupling between the two oscillators remains the same.
Chen Zhi
Hu Kun
Ivanov Plamen Ch
Stanley Eugene H.
Xu Limei
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