Multifractal signatures of complexity matching
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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.
KeywordsSynchronization 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.
- Delignières D, Torre K, Lemoine L (2005) Methodological issues in the application of monofractal analyses in psychological and behavioral research. Nonlinear Dyn Psychol Life Sci 9:435–461Google Scholar
- Leise T, Cohen A (2007) Nonlinear oscillators at our fingertips. Am Math Mon 114:14–28Google Scholar
- Marmelat V, Delignières D (2011) Complexity, coordination, and health: avoiding pitfalls and erroneous interpretations in fractal analyses. Med-Lith 47:393–398Google Scholar