On inversion of the Lagrange-Dirichlet theorem and instability of conservative systems

被引：4
作者：
Palamodov, V. P. [1 ]
机构：
[1] Tel Aviv Univ, Tel Aviv, Israel
来源：
RUSSIAN MATHEMATICAL SURVEYS | 2020年 / 75卷 / 03期
关键词：
Lagrange-Dirichlet theorem; equilibrium; Liapounoff instability; total instability; classification of unstable critical points; quasi-homogeneous potential functions; ASYMPTOTIC MOTIONS; STABILITY; EQUILIBRIUM; EXISTENCE;
D O I：
10.1070/RM9945
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Problems related to instability of equilibria of natural systems in mechanics and inversions of the Lagrange-Dirichlet theorem are discussed. Bibliography: 42 titles.
引用
收藏
页码：495 / 508
页数：14
相关论文
共 43 条
  • [1] [Anonymous], 1985, Monogr. Math.
  • [2] [Anonymous], 1932, TRAITE MECANIQUE RAT
  • [3] [Anonymous], 1982, Stability of Motion
  • [4] Bohl P, 1904, J REINE ANGEW MATH, V127, P179
  • [5] Instability of equilibria in dimension three
    Brunella, M
    [J]. ANNALES DE L INSTITUT FOURIER, 1998, 48 (05) : 1345 - +
  • [6] Burgos J. M., 2019, ARXIV190611962V1
  • [7] Chetaev N. G., 1954, PRIKLAD MAT MEKH, V18, P512
  • [8] CHETAYEV NG, 1952, PRIKL MAT MEKH, V16, P89
  • [9] Dirichlet G. L., 1846, J REINE ANGEW MATH, V32, P85, DOI DOI 10.1515/CRLL.1846.32.85
  • [10] Earnshaw S., 1848, Transactions of the Cambridge Philosophical Society, V7, P97
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