Detecting Couplings between Interacting Oscillators with Time-Varying Basic Frequencies: Instantaneous Wavelet Bispectrum and Information Theoretic Approach

0341801 - ÚI 2011 RIV US eng J - Journal Article
Jamšek, J. - Paluš, Milan - Stefanovska, A.
Detecting Couplings between Interacting Oscillators with Time-Varying Basic Frequencies: Instantaneous Wavelet Bispectrum and Information Theoretic Approach.
Physical Review E. Roč. 81, č. 3 (2010), 036207:1-036207:10. ISSN 1539-3755
R&D Projects: GA MŠMT 7E08027
EU Projects: European Commission(XE) 200728 - BRAINSYNC
Institutional research plan: CEZ:AV0Z10300504
Keywords : interacting oscilators * wavelet bispectrum * coupling directionality * causality * information theory
Subject RIV: FH - Neurology
Impact factor: 2.352, year: 2010

In the natural world, the properties of interacting oscillatory systems are not constant, but evolve or fluctuating continuously in time. For studying their interactions we propose a complementary approach combining wavelet bispectral analysis and information theory. We show how these methods uncover the interacting properties and reveal the nature, strength and direction of coupling. Wavelet bispectral analysis is generalized as a technique for detecting instantaneous phase-time dependence for the case of two or more coupled nonlinear oscillators whereas the information theory approach can uncover the directionality of coupling and extract driver-response relationships in complex systems. We generate bivariate time-series numerically to mimic typical situations that occur in real measured data, apply both methods to the same time-series and discuss the results. The approach is applicable quite generally to any system of coupled nonlinear oscillators.
Permanent Link: http://hdl.handle.net/11104/0184677