On the instability of the equilibrium for a Lagrangian system with gyroscopic forces

DOI10.1007/BF01194983zbMath0821.34056OpenAlexW1993706777MaRDI QIDQ1346269

Alessandra Celletti, Piero Negrini

Publication date: 3 October 1995

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01194983

zbMATH Keywords

instabilityequilibriumLagrangian system

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Stability of solutions to ordinary differential equations (34D20) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Lagrange's equations (70H03) Motion of the gyroscope (70E05)

Related Items (1)

On the instability of steady motion

Cites Work

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• On the inversion of Lagrange-Dirichlet theorem
• Asymptotic motions and the inversion of the Lagrange-Dirichlet theorem
• Asymptotic solutions of equations of dynamics
• On the inversion of the Lagrange-Dirichlet theorem in a case of nonhomogeneous potential
• Über die Instabilität konservativer Systeme mit gyroskopischen Kräften
• A simple variational approach to a converse of the Lagrange-Dirichlet theorem
• Instability of an equilibrium in a potential field
• Die Umkehrung der Stabilitätssätze von Lagrange-Dirichlet und Routh. (The inversion of the stability theorems of Lagrange-Dirichlet and Routh.)

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