Detecting Couplings between Interacting Oscillators with Time-Varying Basic Frequencies: Instantaneous Wavelet Bispectrum and Information Theoretic Approach
Result description
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 caseof 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 typicalsituations 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.
Keywords
interacting oscilatorswavelet bispectrumcoupling directionalitycausalityinformation theory
The result's identifiers
Result code in IS VaVaI
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Detecting Couplings between Interacting Oscillators with Time-Varying Basic Frequencies: Instantaneous Wavelet Bispectrum and Information Theoretic Approach
Original language description
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 caseof 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 typicalsituations 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.
Czech name
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Czech description
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Classification
Type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
FH - Neurology, neuro-surgery, nuero-sciences
OECD FORD branch
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Result continuities
Project
7E08027: Large scale interactions in brain networks and their breakdown in brain diseases
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2010
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Physical Review. E
ISSN
1539-3755
e-ISSN
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Volume of the periodical
81
Issue of the periodical within the volume
3
Country of publishing house
US - UNITED STATES
Number of pages
9
Pages from-to
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UT code for WoS article
000276199400032
EID of the result in the Scopus database
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Result type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP
FH - Neurology, neuro-surgery, nuero-sciences
Year of implementation
2010