Nonlinear Dynamics

, Volume 44, Issue 1–4, pp 135–149 | Cite as

Synchronization Analysis of Coupled Noncoherent Oscillators

  • Jürgen KurthsEmail author
  • M. Carmen Romano
  • Marco Thiel
  • Grigory V. Osipov
  • Mikhail V. Ivanchenko
  • István Z. Kiss
  • John L. Hudson


We present two different approaches to detect and quantify phase synchronization in the case of coupled non-phase coherent oscillators. The first one is based on the general idea of curvature of an arbitrary curve. The second one is based on recurrences of the trajectory in phase space. We illustrate both methods in the paradigmatic example of the Rössler system in the funnel regime. We show that the second method is applicable even in the case of noisy data. Furthermore, we extend the second approach to the application of chains of coupled systems, which allows us to detect easily clusters of synchronized oscillators. In order to illustrate the applicability of this approach, we show the results of the algorithm applied to experimental data from a population of 64 electrochemical oscillators.

Key Words

chaotic oscillators data analysis synchronization 


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Copyright information

© Springer Science + Business Media, Inc. 2006

Authors and Affiliations

  • Jürgen Kurths
    • 1
    Email author
  • M. Carmen Romano
    • 1
  • Marco Thiel
    • 1
  • Grigory V. Osipov
    • 2
  • Mikhail V. Ivanchenko
    • 2
  • István Z. Kiss
    • 3
  • John L. Hudson
    • 3
  1. 1.Institute of PhysicsUniversität PotsdamPotsdamGermany
  2. 2.Department of RadiophysicsNizhny Novgorod UniversityNizhny NovgorodRussia
  3. 3.Department of Chemical EngineeringUniversity of VirginiaCharlottesvilleU.S.A.

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