On instability of equilibrium when the force function is not a maximum

DOI10.1016/0021-8928(80)90140-9zbMath0465.70016OpenAlexW2003212930MaRDI QIDQ1154830

E. A. Liubushin

Publication date: 1980

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(80)90140-9

zbMATH Keywords

force function is not a maximuminstability theorems for holonomic conservative mechanical systemsJacobi's principle of least actionPoincare's recurrence

Mathematics Subject Classification ID

Classical equilibrium statistical mechanics (general) (82B05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Other variational principles in mechanics (70H30) Holonomic systems related to the dynamics of a system of particles (70F20)

Related Items (3)

A simple variational approach to a converse of the Lagrange-Dirichlet theorem ⋮ Instability of an equilibrium in a potential field ⋮ On the inversion of the Lagrange-Dirichlet stability theorem mechanical and generalized systems

Cites Work

• Die Umkehrung der Stabilitätssätze von Lagrange-Dirichlet und Routh. (The inversion of the stability theorems of Lagrange-Dirichlet and Routh.)
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