V. P. Palamodov, “On inversion of the Lagrange–Dirichlet theorem and instability of conservative systems”, Uspekhi Mat. Nauk, 2020, Volume 75, Issue 3(453),Pages <nobr>107

This article is cited 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.

UDC: 517.925.51

MSC: Primary 34D20; Secondary 37N05, 70H14

Received: 24.02.2020

DOI: 10.4213/rm9945