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

By Janez Jamšek, Aneta Stefanovska and Peter V. E. McClintock

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

Year: 2007
OAI identifier: oai:eprints.lancs.ac.uk:2280
Provided by: Lancaster E-Prints

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