On the Jacobi-Metric Stability Criterion

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dc.creatorLeon, M. A. Gonzalez
dc.creatorPastora, J. L. Hernandez
dc.date2007-05-30
dc.date.accessioned2026-07-07T08:03:37Z
dc.date.available2026-07-07T08:03:37Z
dc.descriptionWe 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.
dc.description14 pages, no figures
dc.identifierhttps://arxiv.org/abs/0705.4437
dc.identifierhttp://arxiv.org/abs/0705.4437
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129646
dc.subjectMathematical Physics
dc.titleOn the Jacobi-Metric Stability Criterion
dc.typetext

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