2004/10/04 by Norbert Marwan, Jürgen Kurths, Juergen Kurths · 2 citations
Biochemistry, Genetics and Molecular Biology · Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Geology and Paleoclimatology Research #Geomagnetism and Paleomagnetism Studies #Tree-ring climate responses #math-ph #math.MP #nlin.CD #physics.data-an #physics.geo-ph
paper · pdf · doi:10.1016/j.physleta.2004.12.056
published as Physics Letters A, 336(4-5), 2005, 349-357 · 13 pages, 6 figures
arxiv created 2004/10/04 · openalex publication_date 2004/12/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.