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Estimation of Synchronization from Noisy Data with Application to Human Brain Activity

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Stochastic Processes in Physics, Chemistry, and Biology

Part of the book series: Lecture Notes in Physics ((LNP,volume 557))

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Abstract

We discuss the problem of analysis of bivariate time series from the viewpoint of synchronization theory; it is assumed that the data are measured at the outputs of two possibly interacting self-sustained oscillators. We show that analyzing the relation between instantaneous phases of two signals we can estimate the degree of interaction between the systems. We briefly sketch how to apply our analysis to magnetoencephalography data.

We use the term “phase synchronization” to tell it from “complete synchronization” understood as the exact coincidence of states in context of interacting chaotic systems.

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Author information

Authors and Affiliations

  1. Potsdam University, D-14415, Potsdam, Germany

    Michael G. Rosenblum & Jürgen Kurths

  2. Research Centre Jülich, Institute of Medicine, D-52425, Jülich, Germany

    Peter A. Tass

Authors
  1. Michael G. Rosenblum
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  2. Peter A. Tass
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  3. Jürgen Kurths
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Editor information

Editors and Affiliations

  1. Institut für Physik, Humboldt-Universität zu Berlin, Invalidenstrasse 110, 10115, Berlin, Germany

    Jan A. Freund

  2. Charité, Institut für Biochemie, Humboldt-Universität zu Berlin, Monbijoustrasse 2, 10117, Berlin, Germany

    Thorsten Pöschel

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© 2000 Springer-Verlag Berlin Heidelberg

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Rosenblum, M.G., Tass, P.A., Kurths, J. (2000). Estimation of Synchronization from Noisy Data with Application to Human Brain Activity. In: Freund, J.A., Pöschel, T. (eds) Stochastic Processes in Physics, Chemistry, and Biology. Lecture Notes in Physics, vol 557. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45396-2_20

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  • DOI: https://doi.org/10.1007/3-540-45396-2_20

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-41074-4

  • Online ISBN: 978-3-540-45396-3

  • eBook Packages: Springer Book Archive

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