On the Jacobi-Metric Stability Criterion

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We investigate the exact relation existing between the stability equation for the solutions of a mechanical system and the geodesic deviation equation of the associated geodesic problem in the Jacobi metric constructed via the Maupertuis-Jacobi Principle. We conclude that the dynamical and geometrical approaches to the stability/instability problem are not equivalent.
14 pages, no figures

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Mathematical Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/129646

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0705.4437
 http://arxiv.org/abs/0705.4437

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arXiv