Eur. Phys. J. Special Topics 164, 55-65 (2008)
DOI: 10.1140/epjst/e2008-00834-4

Laminar recurrences, maxline, unstable singularities and biological dynamics

J.P. Zbilut¹ and C.L. Webber Jr.<sup>2

1</sup>  Department of Molecular Biophysics and Physiology, Rush University Medical Center, 1653 W. Congress, Chicago, IL 60612, USA
²  Department of Physiology, Loyola University Medical Center, 2160 S. First Ave., Maywood, IL 60153, USA

jzbilut@rush.edu

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.

© EDP Sciences, Springer-Verlag 2008