Geodesic
On inversion of the Lagrange--Dirichlet theorem and instability of conservative systems
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 75 (2020) no. 3, pp. 495-508

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Problems related to instability of equilibria of natural systems in mechanics and inversions of the Lagrange–Dirichlet theorem are discussed. Bibliography: 42 titles.
Keywords: Lagrange–Dirichlet theorem, equilibrium, Liapounoff instability, total instability, classification of unstable critical points, quasi-homogeneous potential functions. 
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     author = {V. P. Palamodov},
     title = {On inversion of the {Lagrange--Dirichlet} theorem and instability of conservative systems},
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V. P. Palamodov. On inversion of the Lagrange--Dirichlet theorem and instability of conservative systems. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 75 (2020) no. 3, pp. 495-508. http://geodesic.mathdoc.fr/item/RM_2020_75_3_a3/