Conjugate points in Euler's elastic problem
Optimization and Control
2007-05-23 v1
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.
Cite
@article{arxiv.0705.1003,
title = {Conjugate points in Euler's elastic problem},
author = {Yu. L. Sachkov},
journal= {arXiv preprint arXiv:0705.1003},
year = {2007}
}