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Non-random fluctuations and multi-scale dynamics regulation of human activity

Author

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  • Hu, Kun
  • Ivanov, Plamen Ch.
  • Chen, Zhi
  • Hilton, Michael F.
  • Stanley, H.Eugene
  • Shea, Steven A.

Abstract

We investigate if known extrinsic and intrinsic factors fully account for the complex features observed in recordings of human activity as measured from forearm motion in subjects undergoing their regular daily routine. We demonstrate that the apparently random forearm motion possesses dynamic patterns characterized by robust scale-invariant and nonlinear features. These patterns remain stable from one subject to another and are unaffected by changes in the average activity level that occur within individual subjects throughout the day and on different days of the week, since they persist during daily routine and when the same subjects undergo time-isolation laboratory experiments designed to account for the circadian phase and to control the known extrinsic factors. Further, by modeling the scheduled events imposed throughout the laboratory protocols, we demonstrate that they cannot account for the observed scaling patterns in activity fluctuations. We attribute these patterns to a previously unrecognized intrinsic nonlinear multi-scale control mechanism of human activity that is independent of known extrinsic factors such as random and scheduled events, as well as the known intrinsic factors which possess a single characteristic time scale such as circadian and ultradian rhythms.

Suggested Citation

  • Hu, Kun & Ivanov, Plamen Ch. & Chen, Zhi & Hilton, Michael F. & Stanley, H.Eugene & Shea, Steven A., 2004. "Non-random fluctuations and multi-scale dynamics regulation of human activity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 337(1), pages 307-318.
    • Handle: RePEc:eee:phsmap:v:337:y:2004:i:1:p:307-318
    DOI: 10.1016/j.physa.2004.01.042
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    References listed on IDEAS

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    1. Yanhui Liu & Parameswaran Gopikrishnan & Pierre Cizeau & Martin Meyer & Chung-Kang Peng & H. Eugene Stanley, 1999. "The statistical properties of the volatility of price fluctuations," Papers cond-mat/9903369, arXiv.org, revised Mar 1999.
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    Cited by:

    1. Ruben Fossion & Ana Leonor Rivera & Juan C Toledo-Roy & Jason Ellis & Maia Angelova, 2017. "Multiscale adaptive analysis of circadian rhythms and intradaily variability: Application to actigraphy time series in acute insomnia subjects," PLOS ONE, Public Library of Science, vol. 12(7), pages 1-21, July.
    2. Sarlis, Nicholas V. & Skordas, Efthimios S. & Varotsos, Panayiotis A. & Ramírez-Rojas, Alejandro & Flores-Márquez, E. Leticia, 2019. "Investigation of the temporal correlations between earthquake magnitudes before the Mexico M8.2 earthquake on 7 September 2017," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 517(C), pages 475-483.
    3. França, Lucas Gabriel Souza & Montoya, Pedro & Miranda, José Garcia Vivas, 2019. "On multifractals: A non-linear study of actigraphy data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 612-619.
    4. Rashidisabet, Homa & Ajilore, Olusola & Leow, Alex & Demos, Alexander P., 2022. "Revisiting power-law estimation with applications to real-world human typing dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 599(C).
    5. Seuront, Laurent & Seuront-Scheffbuch, Dorine, 2018. "Size rules life, but does it in the assessment of medical vigilance best practice? Towards a testable hypothesis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 707-715.
    6. Efthimios S. Skordas & Stavros-Richard G. Christopoulos & Nicholas V. Sarlis, 2020. "Detrended fluctuation analysis of seismicity and order parameter fluctuations before the M7.1 Ridgecrest earthquake," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 100(2), pages 697-711, January.
    7. Loukidis, Andronikos & Perez-Oregon, Jennifer & Pasiou, Ermioni D. & Sarlis, Nicholas V. & Triantis, Dimos, 2021. "Similarity of fluctuations in critical systems: Acoustic emissions observed before fracture," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 566(C).
    8. Damian G Kelty-Stephen, 2018. "Multifractal evidence of nonlinear interactions stabilizing posture for phasmids in windy conditions: A reanalysis of insect postural-sway data," PLOS ONE, Public Library of Science, vol. 13(8), pages 1-21, August.
    9. Li, Ruixue & Wang, Jiang & Chen, Yingyuan, 2018. "Effect of the signal filtering on detrended fluctuation analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 494(C), pages 446-453.

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