Time structure of chaotic attractors: A graphical view

P. Maurer, Hai-Da Wang, and A. Babloyantz
Phys. Rev. E 56, 1188 – Published 1 July 1997
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Abstract

We present a simple and computationally inexpensive graphical method that unveils subtle correlations between short sequences of a chaotic time series. Similar events, even from noisy and nonstationary data, are clustered together and appear as well-defined patterns on a two-dimensional diagram and can be quantified. The general method is applied to the electrocardiogram of a patient with a malfunctioning pacemaker, the residence times of trajectories in the Lorenz attractor as well as the logistic map. In each case the diagrams unveil different aspects of the system’s dynamics.

  • Received 4 February 1997

DOI:https://doi.org/10.1103/PhysRevE.56.1188

©1997 American Physical Society

Authors & Affiliations

P. Maurer1, Hai-Da Wang1, and A. Babloyantz2

  • 1International Solvay Institutes, Code Postale 231, Boulevard du Triomphe, Bruxelles, Belgium
  • 2Center for Non-linear Phenomena and Complex Systems, Code Postale 231, Boulevard du Triomphe, Bruxelles, Belgium

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Vol. 56, Iss. 1 — July 1997

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