title: Time-phase bispectral analysis.
abstract: Bispectral analysis, a technique based on high-order statistics, is extended to encompass time dependence for the case of coupled nonlinear oscillators. It is applicable to univariate as well as to multivariate data obtained, respectively, from one or more of the oscillators. It is demonstrated for a generic model of interacting systems whose basic units are the Poincaré oscillators. Their frequency and phase relationships are explored for different coupling strengths, both with and without Gaussian noise. The distinctions between additive linear or quadratic, and parametric (frequency modulated), interactions in the presence of noise are illustrated.
authors.affiliation: Group of Nonlinear Dynamics and Synergetics, Faculty of Electrical Engineering, University of Ljubljana, Trzaska 25, 1000 Ljubljana, Slovenia. janez.jamsek@pef.uni-lj.si
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
authors.forename: Igor A
authors.initials: IA
authors.lastname: Khovanov