Line Structures in Recurrence Plots

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dc.creatorMarwan, Norbert
dc.creatorKurths, Juergen
dc.date2004-10-04
dc.date.accessioned2026-07-07T05:35:59Z
dc.date.available2026-07-07T05:35:59Z
dc.descriptionRecurrence 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.
dc.description13 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/nlin/0410002
dc.identifierhttp://arxiv.org/abs/nlin/0410002
dc.identifierPhysics Letters A, 336(4-5), 2005, 349-357
dc.identifierdoi:10.1016/j.physleta.2004.12.056
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80845
dc.subjectChaotic Dynamics
dc.subjectMathematical Physics
dc.subjectData Analysis, Statistics and Probability
dc.subjectGeophysics
dc.titleLine Structures in Recurrence Plots
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