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Recurrence Plots and Cross Recurrence Plots

European Physical Journal – Special Topics, 164(1), 55–65p. (2008) DOI:10.1140/epjst/e2008-00834-4

Laminar recurrences, maxline, unstable singularities and biological dynamics

J. P. Zbilut, C. L. Webber, Jr.

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.