Abstract
For the classical Euler elastic problem, conjugate points are described. Inflexional elasticas admit the first conjugate point between the first and third inflexion points. All other elasticas do not have conjugate points. As a result, the problem of stability of Euler elasticas is solved.
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This work was supported by the Russian Foundation for Basic Research, project No. 06-01-00330.
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Sachkov, Y.L. Conjugate Points in the Euler Elastic Problem. J Dyn Control Syst 14, 409–439 (2008). https://doi.org/10.1007/s10883-008-9044-x
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DOI: https://doi.org/10.1007/s10883-008-9044-x