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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2010, Volume 268, Pages 100–123 (Mi tm2861)  
This article is cited in 14 scientific papers (total in 14 papers)

A biomechanical inactivation principle

J.-P. Gauthiera, B. Berretb, F. Jeanc

a Institut Universitaire de Technologie, Université de Toulon, UMR 6168, La Garde, France
b Université de Bourgogne, INSERM U887 Motricité–Plasticité, Dijon, France
c École Nationale Supérieure de Techniques Avancées, ParisTech, Paris, France
Full-text PDF (488 kB) Citations (14)
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Abstract: This paper develops the mathematical side of a theory of inactivations in human biomechanics. This theory has been validated by practical experiments, including zero-gravity experiments. The theory mostly relies on Pontryagin's maximum principle on the one side and on transversality theory on the other side. It turns out that the periods of silence in the activation of muscles that are observed in practice during the motions of the arm can appear only if “something like the energy expenditure” is minimized. Conversely, minimization of a criterion taking into account the “energy expenditure” guaranties the presence of these periods of silence, for sufficiently short movements.
Received in January 2009
English version:
Proceedings of the Steklov Institute of Mathematics, 2010, Volume 268, Pages 93–116
DOI: https://doi.org/10.1134/S0081543810010098
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: English
Citation: J.-P. Gauthier, B. Berret, F. Jean, “A biomechanical inactivation principle”, Differential equations and topology. I, Collected papers. In commemoration of the centenary of the birth of Academician Lev Semenovich Pontryagin, Trudy Mat. Inst. Steklova, 268, MAIK Nauka/Interperiodica, Moscow, 2010, 100–123; Proc. Steklov Inst. Math., 268 (2010), 93–116
Citation in format AMSBIB
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\paper A biomechanical inactivation principle
\inbook Differential equations and topology.~I
\bookinfo Collected papers. In commemoration of the centenary of the birth of Academician Lev Semenovich Pontryagin
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\vol 268
\pages 100--123
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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