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On the Jacobi-Metric Stability Criterion

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 نشر من قبل M. A. Gonzalez Leon
 تاريخ النشر 2007
  مجال البحث فيزياء
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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.



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