中文

Line Structures in Recurrence Plots

混沌动力学 2007-05-23 v1 数学物理 math.MP 数据分析、统计与概率 地球物理

摘要

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.

关键词

引用

@article{arxiv.nlin/0410002,
  title  = {Line Structures in Recurrence Plots},
  author = {Norbert Marwan and Juergen Kurths},
  journal= {arXiv preprint arXiv:nlin/0410002},
  year   = {2007}
}

备注

13 pages, 6 figures