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Phys. Rev. Lett. 79, 4501–4504 (1997)

Long Memory Processes ( 1/fα Type) in Human Coordination

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Yanqing Chen, Mingzhou Ding, and J. A. Scott Kelso
Program in Complex Systems and Brain Sciences, Center for Complex Systems, Florida Atlantic University, Boca Raton, Florida 33431-0991

Received 28 February 1997; published in the issue dated 1 December 1997

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/fα type long memory where α 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.

© 1997 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.79.4501
DOI:
10.1103/PhysRevLett.79.4501
PACS:
87.22.Jb, 05.40.+j, 87.45.-k