12,000

We have over 12,000 students, from over 100 countries, within one of the safest campuses in the UK

93%

93% of Lancaster students go into work or further study within six months of graduating

Home > Research > Publications & Outputs > Wavelet bispectral analysis for the study of in...
View graph of relations

« Back

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

Research output: Contribution to journalJournal article

Published

Journal publication date24/10/2007
JournalPhysical Review E
Journal number4
Volume76
Pages046221
Original languageEnglish

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.

Bibliographic note

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