Conjugate points in the Euler elastic problem

DOI10.1007/s10883-008-9044-xzbMath1203.49005OpenAlexW2062665361MaRDI QIDQ619200

Yuri L. Sachkov

Publication date: 22 January 2011

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10883-008-9044-x

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear systems in control theory (93C10) Nonlinear elasticity (74B20) Energy minimization in equilibrium problems in solid mechanics (74G65) Bifurcation and buckling (74G60) Existence theories for optimal control problems involving ordinary differential equations (49J15) Optimization of shapes other than minimal surfaces (49Q10)

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Uses Software

• Mathematica

Cites Work

• Maxwell strata in the Euler elastic problem
• Elliptic functions and applications
• Exponential mapping in Euler's elastic problem
• Complete description of the Maxwell strata in the generalized Dido problem
• Methodus inveniendi lineas curvas maximi minimive proprietate gaudentes, sive solutio problematis isoperimetrici lattissimo sensu accepti
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