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

Viktor P. Palamodov

doi:10.1070/RM9945

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

Viktor P. Palamodov^*

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

Problems related to instability of equilibria of natural systems in mechanics and inversions of the Lagrange-Dirichlet theorem are discussed.

Original language	English
Pages (from-to)	495-508
Number of pages	14
Journal	Russian Mathematical Surveys
Volume	75
Issue number	3
DOIs	https://doi.org/10.1070/RM9945
State	Published - Jun 2020

Keywords

Classification of unstable critical points
Equilibrium
Lagrange-Dirichlet theorem
Liapounoff instability
Quasi-homogeneous potential functions
Total instability

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10.1070/RM9945

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title = "On inversion of the Lagrange-Dirichlet theorem and instability of conservative systems",

abstract = "Problems related to instability of equilibria of natural systems in mechanics and inversions of the Lagrange-Dirichlet theorem are discussed.",

keywords = "Classification of unstable critical points, Equilibrium, Lagrange-Dirichlet theorem, Liapounoff instability, Quasi-homogeneous potential functions, Total instability",

author = "Palamodov, \{Viktor P.\}",

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KW - Classification of unstable critical points

KW - Equilibrium

KW - Lagrange-Dirichlet theorem

KW - Liapounoff instability

KW - Quasi-homogeneous potential functions

KW - Total instability

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

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Keywords

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