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Quantifying variability in phase portraits: application to gait ontogeny
Authors:Polk John D  Spencer-Smith Jesse  DiBerardino Louis  Ellis Daniel  Downen Matthew  Rosengren Karl S
Affiliation:aDepartment of Anthropology, University of Illinois Urbana-Champaign, 109 Davenport Hall, 607 South Mathews Avenue, Urbana, IL, 61801, United States;bDepartment of Psychology, University of Illinois Urbana-Champaign, United States;cDepartment of Mechanical Science and Engineering, University of Illinois Urbana-Champaign, United States;dDepartment of Kinesiology and Community Health, University of Illinois Urbana-Champaign, United States
Abstract:We describe new Fourier- and shape-based methods for quantifying variation in phase-portraits, and re-analyze previously-published ontogenetic and adult data [Clark, J. E., & Phillips, S. J. (1993). A longitudinal study of intralimb coordination in the first year of independent walking: A dynamical systems approach. Child Development, 64, 1143–1157]. Results show considerable variation between individuals and through development, but after 6 months of walking some gait patterns stabilize.
Keywords:Phase portraits   Variability   Development   Elliptical Fourier analysis   Gait
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