An inversion of the Lagrange-Dirichlet stability theorem

DOI10.1007/BF00258236zbMath0426.70025OpenAlexW1984270197MaRDI QIDQ1136259

Steven D. Taliaferro

Publication date: 1980

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00258236

zbMATH Keywords

Lagrange-Dirichlet theoremLagrange's equations of motion

Mathematics Subject Classification ID

Holonomic systems related to the dynamics of a system of particles (70F20) Lagrange's equations (70H03)

Related Items (13)

Lagrangian tetragons and instabilities in Hamiltonian dynamics ⋮ To what extent are unstable the maxima of the potential? ⋮ Kinetic energy and the stable set ⋮ On inversion of the Lagrange–Dirichlet theorem and instability of conservative systems ⋮ On the instability of equilibrium when the potential has a non-strict local minimum ⋮ INSTABILITY IN THE PRESENCE OF AN INDEFINITE CONSERVATION LAW ⋮ The influence of the kinetic energy in equilibrium of Hamiltonian systems ⋮ On stability of some Newton systems ⋮ Stability for two dimensional analytic potentials ⋮ 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 ⋮ On inversion of the Lagrange-Dirichlet theorem

Cites Work

• Stability theory by Liapunov's direct method
• Die Umkehrung der Stabilitätssätze von Lagrange-Dirichlet und Routh. (The inversion of the stability theorems of Lagrange-Dirichlet and Routh.)
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