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Wavelet bispectral analysis for the study of interactions among oscillators whose basic frequencies are significantly time variable.

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Wavelet bispectral analysis for the study of interactions among oscillators whose basic frequencies are significantly time variable. / Jamšek, Janez; Stefanovska, Aneta; McClintock, Peter V. E.
In: Physical Review E, Vol. 76, No. 4, 24.10.2007, p. 046221.

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@article{c48b44ffe6da4cfeb87c2dacd221abbc,
title = "Wavelet bispectral analysis for the study of interactions among oscillators whose basic frequencies are significantly time variable.",
abstract = "Bispectral analysis, recently introduced as a technique for revealing time-phase relationships, is extended to make use of wavelets rather than Fourier analysis. It is thus able to encompass instantaneous phase-time dependence for the case of two or more coupled nonlinear oscillators. The method is demonstrated and evaluated by use of test signals from a pair of coupled Poincar{\'e} oscillators. It promises to be useful in a wide range of scientific contexts for studies of interacting oscillators whose basic frequencies are significantly time variable.",
author = "Janez Jam{\v s}ek and Aneta Stefanovska and McClintock, {Peter V. E.}",
note = "By combining the advantages of wavelet and bispectral analyses, the paper introduces a new paradigm for the treatment of oscillatory time series from nonstationary systems. Will be especially valuable in biological applications, but also more widely relevant to complex systems quite generally throughout science and technology. RAE_import_type : Journal article RAE_uoa_type : Physics",
year = "2007",
month = oct,
day = "24",
doi = "10.1103/PhysRevE.76.046221",
language = "English",
volume = "76",
pages = "046221",
journal = "Physical Review E",
issn = "1539-3755",
publisher = "American Physical Society",
number = "4",

}

RIS

TY - JOUR

T1 - Wavelet bispectral analysis for the study of interactions among oscillators whose basic frequencies are significantly time variable.

AU - Jamšek, Janez

AU - Stefanovska, Aneta

AU - McClintock, Peter V. E.

N1 - By combining the advantages of wavelet and bispectral analyses, the paper introduces a new paradigm for the treatment of oscillatory time series from nonstationary systems. Will be especially valuable in biological applications, but also more widely relevant to complex systems quite generally throughout science and technology. RAE_import_type : Journal article RAE_uoa_type : Physics

PY - 2007/10/24

Y1 - 2007/10/24

N2 - Bispectral analysis, recently introduced as a technique for revealing time-phase relationships, is extended to make use of wavelets rather than Fourier analysis. It is thus able to encompass instantaneous phase-time dependence for the case of two or more coupled nonlinear oscillators. The method is demonstrated and evaluated by use of test signals from a pair of coupled Poincaré oscillators. It promises to be useful in a wide range of scientific contexts for studies of interacting oscillators whose basic frequencies are significantly time variable.

AB - Bispectral analysis, recently introduced as a technique for revealing time-phase relationships, is extended to make use of wavelets rather than Fourier analysis. It is thus able to encompass instantaneous phase-time dependence for the case of two or more coupled nonlinear oscillators. The method is demonstrated and evaluated by use of test signals from a pair of coupled Poincaré oscillators. It promises to be useful in a wide range of scientific contexts for studies of interacting oscillators whose basic frequencies are significantly time variable.

U2 - 10.1103/PhysRevE.76.046221

DO - 10.1103/PhysRevE.76.046221

M3 - Journal article

VL - 76

SP - 046221

JO - Physical Review E

JF - Physical Review E

SN - 1539-3755

IS - 4

ER -