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Long Memory Processes (1/fαType) in Human Coordination
Abstract
Consider the task of synchronizing the movement of one's limb to a periodic environmental signal. Using rescaled range analysis and the spectral maximum likelihood estimator, we establish that the experimental errors of human synchronization exhibit $1/{f}^{\ensuremath{\alpha}}$ type long memory where $\ensuremath{\alpha}$ is about 0.5, and that the underlying stochastic process can be modeled by fractional Gaussian noise. In addition, we provide a preliminary model of this phenomenon using stochastic delayed differential equations.
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Citations
Cited by
Long-Range Temporal Correlations and Scaling Behavior in Human Brain Oscillations
Linkenkaer-Hansen, K., Nikouline, V. V., Palva, J. M., & Ilmoniemi, R. J. (2001) · The Journal of Neuroscience · doi:10.1523/jneurosci.21-04-01370.2001 · Cited by 1,149
“…(Bak, 1997), financial markets (Mantegna and Stanley, 1995; Lux and Marchesi, 1999), heartbeats (Peng et al., 1995), and human coordination (Gilden et al., 1995; Chen et al., 1997), exhibit unexpected statistical similarities, most commonly power-law scaling behavior of a particular observable.”
BackgroundSelf-organization of cognitive performance.
Van Orden, G. C., Holden, J. G., & Turvey, M. T. (2003) · Journal of Experimental Psychology: General · doi:10.1037/0096-3445.132.3.331 · Cited by 718
Physical approach to complex systems
Kwapień, J., & Drożdż, S. (2012) · Physics Reports · doi:10.1016/j.physrep.2012.01.007 · Cited by 517
Being Critical of Criticality in the Brain
Beggs, J. M., & Timme, N. (2012) · Frontiers in Physiology · doi:10.3389/fphys.2012.00163 · Cited by 494
Variability and Determinism in Motor Behavior
Riley, M. A., & Turvey, M. T. (2002) · Journal of Motor Behavior · doi:10.1080/00222890209601934 · Cited by 408
Metadata
- Authors
- Chen, Y., Ding, M., & Kelso, J. A. S.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1997-12-01
- Volume
- 79
- Issue
- 22
- Pages
- 4501-4504
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2104833127
- Cited by
- 288
- References
- 0
- FWCI
- 15.69
- Type
- journal article
- Language
- en
- Open access
- closed
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- Chen, Y., Ding, M., & Kelso, J. A. S. (1997). Long Memory Processes (1/fαType) in Human Coordination. Physical Review Letters. https://doi.org/10.1103/physrevlett.79.4501
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
