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arXiv · 0705.4437

On the Jacobi-Metric Stability Criterion

M. A. Gonzalez Leon·J. L. Hernandez Pastora
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Abstract

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.

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BibTeXRIS

M. A. Gonzalez Leon, J. L. Hernandez Pastora. 2007-05-30. On the Jacobi-Metric Stability Criterion. https://arxiv.org/abs/0705.4437

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