Jamšek, Janez and Stefanovska, Aneta and McClintock, Peter V. E. (2007) Wavelet bispectral analysis for the study of interactions among oscillators whose basic frequencies are significantly time variable. Physical Review E, 76 (4). 046221. ISSN 1539-3755
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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 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.