Multiple solutions in Euler's elastic problem

DOI10.1134/S0005117918070020zbMath1401.74039OpenAlexW4248448547MaRDI QIDQ1792586

Yanyan Li

Publication date: 12 October 2018

Published in: Automation and Remote Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0005117918070020

zbMATH Keywords

optimal controlsymmetrieselliptic integralelasticity theoryEuler's elasticaMaxwell stratum

Mathematics Subject Classification ID

Nonlinear elasticity (74B20)

Related Items (5)

Symmetries in left-invariant optimal control problems ⋮ Hidden Maxwell Stratum in Euler's Elastic Problem ⋮ Symmetric Extremal Trajectories in Left-Invariant Optimal Control Problems ⋮ Euler elasticas for optimal control of the motion of mobile wheeled robots: the problem of experimental realization ⋮ Construction of Maxwell points in left-invariant optimal control problems

Cites Work

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• Methodus inveniendi lineas curvas maximi minimive proprietate gaudentes, sive solutio problematis isoperimetrici lattissimo sensu accepti

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