Synchronization as adjustment of information rates: Detection from bivariate time series

Milan Paluš, Vladimír Komárek, Zbyněk Hrnčíř, and Katalin Štěrbová
Phys. Rev. E 63, 046211 – Published 28 March 2001
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Abstract

An information-theoretic approach for studying synchronization phenomena in experimental bivariate time series is presented. “Coarse-grained” information rates are introduced and their ability to indicate generalized synchronization as well as to establish a “direction of information flow” between coupled systems, i.e., to discern the driving from the driven (response) system, is demonstrated using numerically generated time series from unidirectionally coupled chaotic systems. The method introduced is then applied in a case study of electroencephalogram recordings of an epileptic patient. Synchronization events leading to seizures have been found on two levels of organization of brain tissues and “directions of information flow” among brain areas have been identified. This allows localization of the primary epileptogenic areas, also confirmed by magnetic resonance imaging and pasitron emission tomography scans.

  • Received 5 July 2000

DOI:https://doi.org/10.1103/PhysRevE.63.046211

©2001 American Physical Society

Authors & Affiliations

Milan Paluš

  • Institute of Computer Science, Academy of Sciences of the Czech Republic, Pod vodárenskou věží 2, 182 07 Prague 8, Czech Republic

Vladimír Komárek, Zbyněk Hrnčíř, and Katalin Štěrbová

  • Clinic of Paediatric Neurology, 2nd Medical Faculty of Charles University, V úvalu 84, 150 06 Prague 5–Motol, Czech Republic

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Vol. 63, Iss. 4 — April 2001

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