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

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F10%3A00341801" target="_blank" >RIV/67985807:_____/10:00341801 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

FH - Neurologie, neurochirurgie, neurovědy

OECD FORD obor

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Projekt

<a href="/cs/project/7E08027" target="_blank" >7E08027: Large scale interactions in brain networks and their breakdown in brain diseases</a><br>

Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2010

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Physical Review. E

ISSN

1539-3755

e-ISSN

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Svazek periodika

81

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

9

Strana od-do

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Kód UT WoS článku

000276199400032

EID výsledku v databázi Scopus

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