On the instability of equilibrium when the potential has a non-strict local minimum

DOI10.1007/BF00280037zbMath0494.70021OpenAlexW2011573493MaRDI QIDQ1169313

S. Singh

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1007/bf00280037

zbMATH Keywords

two degrees of freedomconservativeinstability of equilibriumimprovement of results by G. Hamel and L. Sillapotential has non-strict local minimum

Mathematics Subject Classification ID

Nonholonomic systems related to the dynamics of a system of particles (70F25)

Related Items (8)

On inversion of the Lagrange–Dirichlet theorem and instability of conservative systems ⋮ Instability of a non-isolated equilibrium ⋮ Instability of dielectrics and conductors in electrostatic fields ⋮ The influence of the kinetic energy in equilibrium of Hamiltonian systems ⋮ A simple variational approach to a converse of the Lagrange-Dirichlet theorem ⋮ Earnshaw's theorem in electrostatics and a conditional converse to Dirichlet's theorem ⋮ Instability of an equilibrium in a potential field ⋮ On the Lyapunov instability in Newtonian dynamics

Cites Work

• Stability of equilibrium in a potential field
• An inversion of the Lagrange-Dirichlet stability theorem
• Stability theory by Liapunov's direct method

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