Instability of an equilibrium in a potential field

DOI10.1007/BF00405242zbMath0679.70003MaRDI QIDQ1823036

Steven D. Taliaferro

Publication date: 1990

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

zbMATH Keywords

Lagrange-Dirichlet theoreminstability of an equilibrium position

Mathematics Subject Classification ID

Dynamics of a system of particles, including celestial mechanics (70F99) Lagrange's equations (70H03)

Related Items (13)

The stability of the equilibrium of holonomic conservative systems ⋮ On the instability of the equilibrium for a Lagrangian system with gyroscopic forces ⋮ Lyapunov first method for nonholonomic systems with circulatory forces ⋮ On solutions with generalized power asymptotics to systems of differential equations ⋮ On inversion of the Lagrange–Dirichlet theorem and instability of conservative systems ⋮ Stability of equilibrium of conservative systems with two degrees of freedom. ⋮ Instability of equilibrium points of some Lagrangian systems ⋮ Instability of a non-isolated equilibrium ⋮ Instability of dielectrics and conductors in electrostatic fields ⋮ 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 ⋮ On the Lyapunov instability in Newtonian dynamics ⋮ On the Lyapunov instability in Lagrangian dynamics

Cites Work

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• Stability of equilibrium in a potential field
• On the inversion of Lagrange-Dirichlet theorem
• Asymptotic solutions of equations of classical mechanics
• Asymptotic motions and the inversion of the Lagrange-Dirichlet theorem
• An inversion of the Lagrange-Dirichlet stability theorem
• On instability of equilibrium when the force function is not a maximum
• On the instability of equilibrium when the potential has a non-strict local minimum
• On equilibrium instability for conservative and partially dissipative systems
• On the inversion of the Lagrange-Dirichlet stability theorem mechanical and generalized systems
• Die Umkehrung der Stabilitätssätze von Lagrange-Dirichlet und Routh. (The inversion of the stability theorems of Lagrange-Dirichlet and Routh.)

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