Bimodal bifurcations of equilibria in symmetric potential systems

DOI10.1134/S1028335807110079zbMath1379.37094MaRDI QIDQ848092

Alexander P. Seyranian, Alexei A. Mailybaev

Publication date: 19 February 2010

Published in: Doklady Physics (Search for Journal in Brave)

zbMATH Keywords

loss of stabilitysupercritical behaviorsymmetric articulated beam

Mathematics Subject Classification ID

Bifurcation and buckling (74G60) Dynamical systems in solid mechanics (37N15) Bifurcations of singular points in dynamical systems (37G10) Symmetries, equivariance on manifolds (58K70) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)

Cites Work

• Singularities and groups in bifurcation theory. Volume I
• On single and bimodal optimum buckling loads of clamped columns
• Coupled branching configurations in the elastic buckling of symmetric structural systems
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