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 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.
authors.affiliation: Group of Nonlinear Dynamics and Synergetics, Faculty of Electrical Engineering, University of Ljubljana, Trzaska 25, 1000 Ljubljana, Slovenia.
authors.forename: Janez
authors.initials: J
authors.lastname: Jamsek
authors.forename: Aneta
authors.initials: A
authors.lastname: Stefanovska
authors.forename: Peter V E
authors.initials: PV
authors.lastname: McClintock