Line Structures in Recurrence Plots

Abstract

Recurrence plots exhibit line structures which represent typical behaviour of the investigated system. The local slope of these line structures is connected with a specific transformation of the time scales of different segments of the phase-space trajectory. This provides us a better understanding of the structures occuring in recurrence plots. The relationship between the time-scales and line structures are of practical importance in cross recurrence plots. Using this relationship within cross recurrence plots, the time-scales of differently sampled or time-transformed measurements can be adjusted. An application to geophysical measurements illustrates the capability of this method for the adjustment of time-scales in different measurements.

13 pages, 6 figures

References in corpus (3)

• Recurrence Plot Based Measures of Complexity and its Application to Heart Rate Variability Data
• Nonlinear analysis of bivariate data with cross recurrence plots
• Cross Recurrence Plot Based Synchronization of Time Series

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• Secular variation of hemispheric phase differences in the solar cycle
• Detecting recurrence domains of dynamical systems by symbolic dynamics
• Detecting event-related recurrences by symbolic analysis: Applications to human language processing
• Recurrence flow measure of nonlinear dependence
• A bibliographic view on recurrence plots and recurrence quantification analyses