Line Structures in Recurrence Plots

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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

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Chaotic Dynamics, Mathematical Physics, Data Analysis, Statistics and Probability, Geophysics

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http://salesiana.dossiersoluciones.com/handle/123456789/80845

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0410002
 http://arxiv.org/abs/nlin/0410002
 Physics Letters A, 336(4-5), 2005, 349-357
 doi:10.1016/j.physleta.2004.12.056

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arXiv