Line Structures in Recurrence Plots

Details Line Structures in Recurrence Plots Line Structures in Recurrence Plots

2004-10-04

arxiv.org/abs/nlin/0410002v1

Physics Letters A, 336(4-5), 2005, 349-357

Nonlinear Sciences

Chaotic Dynamics

13 pages, 6 figures

Scientific paper

10.1016/j.physleta.2004.12.056

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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