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Russian Mathematical Surveys, 2020, Volume 75, Issue 3, Pages 495–508
DOI: https://doi.org/10.1070/RM9945 (Mi rm9945) 		 
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
English version PDF (511 kB) Citations (4) Russian version article
References:
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DOI: https://doi.org/10.1070/RM9945
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
Bibliographic databases:
Document Type: Article
UDC: 517.925.51
MSC: Primary 34D20; Secondary 37N05, 70H14
Language: English
Original paper language: Russian
Citation: V. P. Palamodov, “On inversion of the Lagrange–Dirichlet theorem and instability of conservative systems”, Russian Math. Surveys, 75:3 (2020), 495–508
Citation in format AMSBIB
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\by V.~P.~Palamodov
\paper On inversion of the Lagrange--Dirichlet theorem and instability of conservative systems
\jour Russian Math. Surveys
\yr 2020
\vol 75
\issue 3
\pages 495--508
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Statistics & downloads:
    Abstract page:688
    Russian version PDF:252
    English version PDF:38
    References:67
    First page:47
     
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