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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive
Trudy Mat. Inst. Steklova, 2010 Volume 271, Pages 187–203 (Mi tm3244)
This article is cited in 23 papers

Stability of inflectional elasticae centered at vertices or inflection points

Yu. L. Sachkova, S. V. Levyakovb

a Program Systems Institute, Russian Academy of Sciences, Pereslavl-Zalessky, Russia
b Novosibirsk State Technical University, Novosibirsk, Russia

Abstract: Stability conditions for inflectional Euler's elasticae centered at vertices or inflection points are obtained. Theoretical results are compared with experimental data for elastic rods.

UDC: 517.97

Received in February 2010


 English version: Proceedings of the Steklov Institute of Mathematics, 2010, 271, 177–192

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