Measuring Nonstationarity by Analyzing the Loss of Recurrence in Dynamical Systems

Christoph Rieke, Karsten Sternickel, Ralph G. Andrzejak, Christian E. Elger, Peter David, and Klaus Lehnertz
Phys. Rev. Lett. 88, 244102 – Published 31 May 2002
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Abstract

We propose a measure for nonstationarity which is based on the analysis of distributions of temporal distances of neighboring vectors in state space. As an extension of previous techniques our method does not require a partitioning of the time series. Moreover, the deviation of mean recurrence times from frequency distributions that would be expected under stationary conditions allows us to estimate the statistical significance of the method.

  • Received 9 January 2002

DOI:https://doi.org/10.1103/PhysRevLett.88.244102

©2002 American Physical Society

Authors & Affiliations

Christoph Rieke1,2, Karsten Sternickel2, Ralph G. Andrzejak1,2, Christian E. Elger1, Peter David2, and Klaus Lehnertz1

  • 1Department of Epileptology, Medical Center, University of Bonn, Sigmund-Freud-Strasse 25, 53105 Bonn, Germany
  • 2Institut fuer Strahlen- und Kernphysik, University of Bonn, Nussallee 14-16, 53115 Bonn, Germany

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Vol. 88, Iss. 24 — 17 June 2002

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