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

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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Official URL: https://doi.org/10.1103/PhysRevE.76.046221

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.

Item Type:

Journal Article

Journal or Publication Title:

Physical Review E

Additional Information:

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

Uncontrolled Keywords:

/dk/atira/pure/researchoutput/libraryofcongress/qc

Subjects:

Departments:

Faculty of Science and Technology > Physics

ID Code:

2280

Deposited By:

ep_importer

Deposited On:

04 Apr 2008 08:01

Refereed?: