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This article is cited in 4 scientific papers (total in 4 papers)
On inversion of the Lagrange–Dirichlet theorem and instability of conservative systems
V. P. Palamodov Tel Aviv University, Tel Aviv, Israel
Abstract:
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.
Received: 24.02.2020
Citation:
V. P. Palamodov, “On inversion of the Lagrange–Dirichlet theorem and instability of conservative systems”, Russian Math. Surveys, 75:3 (2020), 495–508
Linking options:
https://www.mathnet.ru/eng/rm9945https://doi.org/10.1070/RM9945 https://www.mathnet.ru/eng/rm/v75/i3/p107
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Abstract page: | 688 | Russian version PDF: | 252 | English version PDF: | 38 | References: | 67 | First page: | 47 |
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