Recurrence Plots for the Analysis of Complex Systems

MARWAN, N., CARMENROMANO, M., THIEL, M., & KURTHS, J. (2007). Recurrence Plots for the Analysis of Complex Systems. Physics Reports, 438(5–6), 5-6.

Type

Journal article

Intellectual base

Primary research

Year

2007

Volume

438

Issue

5–6

Pages

5-6

DOI

10.1016/j.physrep.2006.11.001

DOI registrant

Elsevier

Link

https://doi.org/10.1016/j.physrep.2006.11.001

Cited from

mathematics

Cited by

2 citations across 2 artifacts.

Primes

• Recurrence
  • Reframing seemingly disparate phenomena—Fibonacci populations, sunspot cycles, empire rise-and-fall, relapse cycles, epidemic waves—as instances of recurrence reduces analysis to identifying the order of recurrence (how many prior states matter), the rules connecting states, and the triggers or thresholds that affect transitions, a reduction Marwan, Romano, Thiel, and Kurths (2007) survey across physical, biological, and social systems using recurrence quantification analysis.

    Supported in partVerified against the work's full text

    Marwan et al. survey recurrence plots and RQA across physiology, ecology, physics, earth science, engineering and economics, but not as a reduction to recurrence order, rules and thresholds.

    “RPs and the RQA are most popular in physiology”

    Read by an automated reader; not a human review. How support was checked

Domain-specific

• Recurrence plot
  • … transfers from A canonical instance directly demonstrates that each plotted mark corresponds exactly to a state pair satisfying the declared metric, embedding, norm, and recurrence threshold. to An applied instance preserves the same invariant under a changed scale, notation, jurisdiction, dataset, or implementation..

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Registry ID ref:af3936a1b6c1 · see in the full table