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Line Structures in Recurrence Plots

Norbert Marwan·Juergen Kurths
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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.

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Norbert Marwan, Juergen Kurths. 2004-10-04. Line Structures in Recurrence Plots. https://doi.org/10.1016/j.physleta.2004.12.056

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