Conjugate points in Euler's elastic problem

Abstract

For the classical Euler's elastic problem, conjugate points are described. Inflectional elasticae admit the first conjugate point between the first and the third inflection points. All the rest elasticae do not have conjugate points.

31 page, 10 figures

References in corpus (1)

• Maxwell strata in Euler's elastic problem

Cited by in corpus (2)

• Maxwell strata in Euler's elastic problem
• Maxwell strata in sub-Riemannian problem on the group of motions of a plane