Experimental Brain Research

, Volume 234, Issue 10, pp 2773–2785 | Cite as

Multifractal signatures of complexity matching

  • Didier Delignières
  • Zainy M. H. Almurad
  • Clément Roume
  • Vivien Marmelat
Research Article


The complexity matching effect supposes that synchronization between complex systems could emerge from multiple interactions across multiple scales and has been hypothesized to underlie a number of daily-life situations. Complexity matching suggests that coupled systems tend to share similar scaling properties, and this phenomenon is revealed by a statistical matching between the scaling exponents that characterize the respective behaviors of both systems. However, some recent papers suggested that this statistical matching could originate from local adjustments or corrections, rather than from a genuine complexity matching between systems. In the present paper, we propose an analysis method based on correlation between multifractal spectra, considering different ranges of time scales. We analyze several datasets collected in various situations (bimanual coordination, interpersonal coordination, and walking in synchrony with a fractal metronome). Our results show that this method is able to distinguish between situations underlain by genuine statistical matching and situations where statistical matching results from local adjustments.


Synchronization Coordination Complexity matching Multifractals 



We thank Prof. Andras Eke who kindly provided us with the MATLAB code for the multifractal focus-based method.

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  • Didier Delignières
    • 1
  • Zainy M. H. Almurad
    • 1
    • 2
  • Clément Roume
    • 1
  • Vivien Marmelat
    • 1
    • 3
  1. 1.EA 2991, EuromovUniversity of MontpellierMontpellierFrance
  2. 2.Faculty of Physical EducationUniversity of MossulMossulIraq
  3. 3.Center for Research in Human Movement VariabilityUniversity of Nebraska at OmahaOmahaUSA

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