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Improved Assessment of Orbital Stability of Rhythmic Motion with Noise

Cited 8 time in Web of Science Cited 11 time in Scopus
Authors
Ahn, Jooeun; Hogan, Neville
Issue Date
2015-03
Publisher
PUBLIC LIBRARY SCIENCE
Citation
PLoS ONE, Vol.10 No.3, pp. 1-12
Keywords
Improved Assessment of Orbital Stability of Rhythmic Motion with Noise복합학
Abstract
Mathematical techniques have provided tools to quantify the stability of rhythmic movements of humans and machines as well as mathematical models. One archetypal example is the use of Floquet multipliers: assuming periodic motion to be a limit-cycle of a nonlinear oscillator, local stability has been assessed by evaluating the rate of convergence to the limit-cycle. However, the accuracy of the assessment in experiments is questionable: Floquet multipliers provide a measure of orbital stability for deterministic systems, but various components of biological systems and machines involve inevitable noise. In this study, we show that the conventional estimate of orbital stability, which depends on regression, has bias in the presence of noise. We quantify the bias, and devise a new method to estimate orbital stability more accurately. Compared with previous methods, our method substantially reduces the bias, providing acceptable estimates of orbital stability with an order-of-magnitude fewer cycles.
ISSN
19326203
Language
English
URI
https://hdl.handle.net/10371/116876
DOI
https://doi.org/10.1371/journal.pone.0119596
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College of Education (사범대학)Dept. of Physical Education (체육교육과)Journal Papers (저널논문_체육교육과)
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