On the inversion of Lagrange-Dirichlet theorem
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Publication:751335
zbMath0714.70024MaRDI QIDQ751335
Publication date: 1989
Published in: Differential and Integral Equations (Search for Journal in Brave)
equilibrium positionpotential functionexistence of invariant stable manifoldsinfinitely differentiable potential functionsinversion of the Lagrange-Dirichlet theorem
Stability for nonlinear problems in mechanics (70K20) Asymptotic properties of solutions to ordinary differential equations (34D05)
Related Items (14)
The stability of the equilibrium of holonomic conservative systems ⋮ On the instability of the equilibrium for a Lagrangian system with gyroscopic forces ⋮ Asymptotic solutions of Lagrangian systems with gyroscopic forces ⋮ On the instability of steady motion ⋮ A partial reciprocal of Dirichlet Lagrange theorem detected by jets ⋮ Kinetic energy and the stable set ⋮ 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 ⋮ A simple variational approach to a converse of the Lagrange-Dirichlet theorem ⋮ Complete integrability for Hamiltonian systems with a cone potential ⋮ Instability of an equilibrium in a potential field ⋮ On the Lyapunov instability in Newtonian dynamics ⋮ On the Lyapunov instability in Lagrangian dynamics
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