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Trudy SPIIRAN, 2010, Issue 12, Pages 226–234
(Mi trspy367)
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Equilibrium configurations of a planar polygonal linkage
A. M. Zhukovaa, G. Yu. Paninab a St. Petersburg State University, Department of Mathematics and Mechanics
b St. Petersburg Institute for Informatics and Automation of RAS
Abstract:
Equilibrium shapes of a planar polygonal linkage are cyclic configurations. We present a formula for the Morse index and characterize stable equilibrium configurations.
Keywords:
polygonal linkage, equilibrium shape, signed area, Morse index.
Received: 03.12.2010 Accepted: 06.12.2010
Citation:
A. M. Zhukova, G. Yu. Panina, “Equilibrium configurations of a planar polygonal linkage”, Tr. SPIIRAN, 12 (2010), 226–234
Linking options:
https://www.mathnet.ru/eng/trspy367 https://www.mathnet.ru/eng/trspy/v12/p226
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Abstract page: | 294 | Full-text PDF : | 151 | References: | 49 | First page: | 1 |
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