Instability of equilibrium points of some Lagrangian systems

DOI10.1016/j.jde.2008.02.016zbMath1149.70011OpenAlexW2040288181MaRDI QIDQ932281

R. S. Freire jun., Fabio A. Tal, Manuel V. P. Garcia

Publication date: 10 July 2008

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

Full work available at URL: https://doi.org/10.1016/j.jde.2008.02.016

zbMATH Keywords

Lyapunov stabilitygyroscopic forcesLagrange-Dirichlet theoremasymptotic trajectory

Mathematics Subject Classification ID

Lagrange's equations (70H03) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14)

Related Items (2)

A partial reciprocal of Dirichlet Lagrange theorem detected by jets ⋮ Kinetic energy and the stable set

Cites Work

• Unnamed Item
• On the inversion of Lagrange-Dirichlet theorem
• On the asymptotic solutions of the equations of motion of mechanical systems
• On the inversion of the Lagrange-Dirichlet theorem in a case of nonhomogeneous potential
• On equilibrium instability for conservative and partially dissipative systems
• Stability theory by Liapunov's direct method
• Stability of equilibrium of conservative systems with two degrees of freedom.
• Instability of an equilibrium in a potential field
• Asymptotic solutions of Lagrangian systems with gyroscopic forces
• Local extrema of analytic functions
• Jet-Detectable Extrema

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