Conjugate points in Euler's elastic problem

Details Conjugate points in Euler's elastic problem Conjugate points in Euler's elastic problem

2007-05-07

arxiv.org/abs/0705.1003v1

Mathematics

Optimization and Control

31 page, 10 figures

Scientific paper

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.

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