Conjugate points in Euler's elastic problem

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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

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Optimization and Control, 49J15; 93B29; 93C10; 74B20; 74K10; 65D07

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http://salesiana.dossiersoluciones.com/handle/123456789/128558

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0705.1003
 http://arxiv.org/abs/0705.1003

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arXiv