Stability of equilibrium of conservative systems with two degrees of freedom.

DOI10.1016/S0022-0396(03)00167-0zbMath1134.70317MaRDI QIDQ1414010

Manuel V. P. Garcia, Fabio A. Tal

Publication date: 19 November 2003

Published in: Journal of Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Lyapunov stabilityLagrangianconservative systemsDirichlet-Lagrange theorem

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Stability of solutions to ordinary differential equations (34D20) Lagrange's equations (70H03) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14)

Related Items (6)

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 ⋮ Instability of equilibrium points of some Lagrangian systems ⋮ On the Lyapunov instability in Newtonian dynamics ⋮ On the Lyapunov instability in Lagrangian dynamics

Cites Work

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• On the inversion of Lagrange-Dirichlet theorem
• On the inversion of the Lagrange-Dirichlet theorem in a case of nonhomogeneous potential
• Instability of an equilibrium in a potential field
• Local extrema of analytic functions
• Jet-Detectable Extrema

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