Laminar recurrences, maxline, unstable singularities and biological dynamics

The European Physical Journal Special Topics volume 164, pages 55–65 (2008)Cite this article

Abstract

Recurrence quantification analysis can reveal subtle aspects of dynamics not easily appreciated by other methods such as the Fourier transform. Laminarity and maxline are two RQA variables that can demonstrate the presence of unstable singularities which are often found in biological dynamics. Examples are presented and their implications are discussed relative to deterministic dynamics and stochastic processes.

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Affiliations

  1. Department of Molecular Biophysics and Physiology, Rush University Medical Center, 1653 W. Congress, Chicago, IL, 60612, USA

    J.P. Zbilut

  2. Department of Physiology, Loyola University Medical Center, 2160 S. First Ave., Maywood, IL, 60153, USA

    C.L. Webber Jr.

Authors
  1. J.P. Zbilut
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  2. C.L. Webber Jr.
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Correspondence to J.P. Zbilut.

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Zbilut, J., Webber, C. Laminar recurrences, maxline, unstable singularities and biological dynamics. Eur. Phys. J. Spec. Top. 164, 55–65 (2008). https://doi.org/10.1140/epjst/e2008-00834-4

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Keywords

  • Lyapunov Exponent
  • European Physical Journal Special Topic
  • Sine Wave
  • Recurrence Plot
  • Dissipative Force