Inferring direct coupling by means of recurrences

Y. Zou, M. C. Romano , M. Thiel, N. Marwan, J. Kurths

Research output: Contribution to journalArticle

25 Citations (Scopus)

Abstract

The identification of the coupling direction from measured time series taking place in a group of interacting components is an important challenge for many experimental studies. We propose here a method to uncover the coupling configuration using recurrence properties. The approach hinges on a generalization of conditional probability of recurrence, which was originally introduced to detect and quantify even weak coupling directions between two interacting systems, to the case of multivariate time series where indirect interactions might be present. We test our method by an example of three coupled Lorenz systems. Our results confirm that the proposed method has much potential to identify indirect coupling, which is very relevant for experimental time series analysis.
Original languageEnglish
Pages (from-to)1099-1111
Number of pages13
JournalInternational Journal of Bifurcation and Chaos
Volume21
Issue number4
DOIs
Publication statusPublished - Apr 2011

Fingerprint

Recurrence
Time series
Time series analysis
Hinges
Multivariate Time Series
Lorenz System
Weak Coupling
Time Series Analysis
Experimental Analysis
Conditional probability
Coupled System
Experimental Study
Quantify
Configuration
Interaction
Generalization

Keywords

  • coupling direction
  • recurrences
  • Lorenz system
  • multivariate time series

Cite this

Inferring direct coupling by means of recurrences. / Zou, Y.; Romano , M. C.; Thiel, M.; Marwan, N.; Kurths, J.

In: International Journal of Bifurcation and Chaos, Vol. 21, No. 4, 04.2011, p. 1099-1111.

Research output: Contribution to journalArticle

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