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Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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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 -