Twin surrogates to test for complex synchronisation

M Thiel, M C Romano, J Kurths, M. Rolfs, R. Kliegl

Research output: Contribution to journalArticle

85 Citations (Scopus)

Abstract

We present an approach to generate (multivariate) twin surrogates (TS) based on recurrence properties. This technique generates surrogates which correspond to an independent copy of the underlying system, i.e. they induce a trajectory of the underlying system starting at different initial conditions. We show that these surrogates are well suited to test for complex synchronisation and exemplify this for the paradigmatic system of Rossler oscillators. The proposed test enables to assess the statistical relevance of a synchronisation analysis from passive experiments which are typical in natural systems.

Original languageEnglish
Pages (from-to)535-541
Number of pages6
JournalEurophysics Letters
Volume75
Issue number4
DOIs
Publication statusPublished - Aug 2006

Keywords

  • phase synchronization
  • time-series
  • chaotic oscillators
  • recurrence plots
  • systems
  • nonlinearity

Cite this

Twin surrogates to test for complex synchronisation. / Thiel, M; Romano, M C; Kurths, J; Rolfs, M.; Kliegl, R.

In: Europhysics Letters, Vol. 75, No. 4, 08.2006, p. 535-541.

Research output: Contribution to journalArticle

Thiel, M ; Romano, M C ; Kurths, J ; Rolfs, M. ; Kliegl, R. / Twin surrogates to test for complex synchronisation. In: Europhysics Letters. 2006 ; Vol. 75, No. 4. pp. 535-541.
@article{13acf04efac045609d764b8f5bce9b94,
title = "Twin surrogates to test for complex synchronisation",
abstract = "We present an approach to generate (multivariate) twin surrogates (TS) based on recurrence properties. This technique generates surrogates which correspond to an independent copy of the underlying system, i.e. they induce a trajectory of the underlying system starting at different initial conditions. We show that these surrogates are well suited to test for complex synchronisation and exemplify this for the paradigmatic system of Rossler oscillators. The proposed test enables to assess the statistical relevance of a synchronisation analysis from passive experiments which are typical in natural systems.",
keywords = "phase synchronization, time-series, chaotic oscillators, recurrence plots, systems, nonlinearity",
author = "M Thiel and Romano, {M C} and J Kurths and M. Rolfs and R. Kliegl",
year = "2006",
month = "8",
doi = "10.1209/EPL/I2006-10147-0",
language = "English",
volume = "75",
pages = "535--541",
journal = "Europhysics Letters",
issn = "0295-5075",
publisher = "EPL ASSOCIATION, EUROPEAN PHYSICAL SOCIETY",
number = "4",

}

TY - JOUR

T1 - Twin surrogates to test for complex synchronisation

AU - Thiel, M

AU - Romano, M C

AU - Kurths, J

AU - Rolfs, M.

AU - Kliegl, R.

PY - 2006/8

Y1 - 2006/8

N2 - We present an approach to generate (multivariate) twin surrogates (TS) based on recurrence properties. This technique generates surrogates which correspond to an independent copy of the underlying system, i.e. they induce a trajectory of the underlying system starting at different initial conditions. We show that these surrogates are well suited to test for complex synchronisation and exemplify this for the paradigmatic system of Rossler oscillators. The proposed test enables to assess the statistical relevance of a synchronisation analysis from passive experiments which are typical in natural systems.

AB - We present an approach to generate (multivariate) twin surrogates (TS) based on recurrence properties. This technique generates surrogates which correspond to an independent copy of the underlying system, i.e. they induce a trajectory of the underlying system starting at different initial conditions. We show that these surrogates are well suited to test for complex synchronisation and exemplify this for the paradigmatic system of Rossler oscillators. The proposed test enables to assess the statistical relevance of a synchronisation analysis from passive experiments which are typical in natural systems.

KW - phase synchronization

KW - time-series

KW - chaotic oscillators

KW - recurrence plots

KW - systems

KW - nonlinearity

U2 - 10.1209/EPL/I2006-10147-0

DO - 10.1209/EPL/I2006-10147-0

M3 - Article

VL - 75

SP - 535

EP - 541

JO - Europhysics Letters

JF - Europhysics Letters

SN - 0295-5075

IS - 4

ER -