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.
Cite
@article{arxiv.nlin/0410002,
title = {Line Structures in Recurrence Plots},
author = {Norbert Marwan and Juergen Kurths},
journal= {arXiv preprint arXiv:nlin/0410002},
year = {2007}
}
Comments
13 pages, 6 figures