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Multifractal fluctuations in joint angles during infant spontaneous kicking reveal multiplicativity-driven coordination

Author

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  • Stephen, Damian G.
  • Hsu, Wen-Hao
  • Young, Diana
  • Saltzman, Elliot L.
  • Holt, Kenneth G.
  • Newman, Dava J.
  • Weinberg, Marc
  • Wood, Robert J.
  • Nagpal, Radhika
  • Goldfield, Eugene C.

Abstract

Previous research has considered infant spontaneous kicking as a form of exploration. According to this view, spontaneous kicking provides information about motor degrees of freedom and may shape multijoint coordinations for more complex movement patterns such as gait. Recent work has demonstrated that multifractal, multiplicative fluctuations in exploratory movements index energy flows underlying perceptual-motor information. If infant spontaneous kicking is exploratory and occasions an upstream flow of information from the motor periphery, we expected not only that multiplicativity of fluctuations at the hip should promote multiplicativity of fluctuations at more distal joints (i.e., reflecting downstream effects of neural control) but also that multiplicativity at more distal joints should promote multiplicativity at the hip. Multifractal analysis demonstrated that infant spontaneous kicking in four typically developing infants for evidence of multiplicative fluctuations in multiple joint angles along the leg (i.e., hip, knee, and ankle) exhibited multiplicativity. Vector autoregressive modeling demonstrated that only one leg exhibited downstream effects but that both legs exhibited upstream effects. These results confirm the exploratory aspect of infant spontaneous kicking and suggest chaotic dynamics in motor coordination. They also resonate with existing models of chaos-controlled robotics and noise-based interventions for rehabilitating motor coordination in atypically developing patients.

Suggested Citation

  • Stephen, Damian G. & Hsu, Wen-Hao & Young, Diana & Saltzman, Elliot L. & Holt, Kenneth G. & Newman, Dava J. & Weinberg, Marc & Wood, Robert J. & Nagpal, Radhika & Goldfield, Eugene C., 2012. "Multifractal fluctuations in joint angles during infant spontaneous kicking reveal multiplicativity-driven coordination," Chaos, Solitons & Fractals, Elsevier, vol. 45(9), pages 1201-1219.
    • Handle: RePEc:eee:chsofr:v:45:y:2012:i:9:p:1201-1219
    DOI: 10.1016/j.chaos.2012.06.005
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    References listed on IDEAS

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    1. Sims, Christopher A, 1980. "Macroeconomics and Reality," Econometrica, Econometric Society, vol. 48(1), pages 1-48, January.
    2. Stephen, Damian G. & Dixon, James A., 2011. "Strong anticipation: Multifractal cascade dynamics modulate scaling in synchronization behaviors," Chaos, Solitons & Fractals, Elsevier, vol. 44(1), pages 160-168.
    3. Banerjee, Anindya & Dolado, Juan J. & Galbraith, John W. & Hendry, David, 1993. "Co-integration, Error Correction, and the Econometric Analysis of Non-Stationary Data," OUP Catalogue, Oxford University Press, number 9780198288107.
    4. Mario Forni, 2004. "Using Stationarity Tests in Antitrust Market Definition," American Law and Economics Review, American Law and Economics Association, vol. 6(2), pages 441-464.
    5. Kantelhardt, Jan W. & Zschiegner, Stephan A. & Koscielny-Bunde, Eva & Havlin, Shlomo & Bunde, Armin & Stanley, H.Eugene, 2002. "Multifractal detrended fluctuation analysis of nonstationary time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 316(1), pages 87-114.
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    Cited by:

    1. Faheem Aslam & Paulo Ferreira & Haider Ali & Ana Ercília José, 2022. "Application of Multifractal Analysis in Estimating the Reaction of Energy Markets to Geopolitical Acts and Threats," Sustainability, MDPI, vol. 14(10), pages 1-23, May.
    2. Jonathan K Doyon & Alen Hajnal & Tyler Surber & Joseph D Clark & Damian G Kelty-Stephen, 2019. "Multifractality of posture modulates multisensory perception of stand-on-ability," PLOS ONE, Public Library of Science, vol. 14(2), pages 1-32, February.
    3. Stanis{l}aw Dro.zd.z & Rafa{l} Kowalski & Pawe{l} O'swic{e}cimka & Rafa{l} Rak & Robert Gc{e}barowski, 2018. "Dynamical variety of shapes in financial multifractality," Papers 1809.06728, arXiv.org.
    4. Mangalam, Madhur & Carver, Nicole S. & Kelty-Stephen, Damian G., 2020. "Global broadcasting of local fractal fluctuations in a bodywide distributed system supports perception via effortful touch," Chaos, Solitons & Fractals, Elsevier, vol. 135(C).

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