Asymptotic solutions of Lagrangian systems with gyroscopic forces

DOI10.1007/BF01210618zbMath0839.58024MaRDI QIDQ1902872

Piero Negrini, Sergey V. Bolotin

Publication date: 24 June 1996

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

zbMATH Keywords

stabilityasymptotic solutionsLagrangian systemsequilibrium pointgyroscopic forces

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (7)

On the instability of steady motion ⋮ Hydrodynamic vortex on surfaces ⋮ First integrals and asymptotic trajectories ⋮ Instability of equilibrium points of some Lagrangian systems ⋮ On the instability of equilibria of mechanical systems in nonpotential force fields in the case of typical degeneracies ⋮ Orbital stability in static axisymmetric fields ⋮ On the Lyapunov instability in Lagrangian dynamics

Cites Work

• On the inversion of Lagrange-Dirichlet theorem
• Action minimizing invariant measures for positive definite Lagrangian systems
• On the asymptotic solutions of the equations of motion of mechanical systems
• Asymptotic motions and the inversion of the Lagrange-Dirichlet theorem
• The instability of the equilibrium of a two-degree-of-freedom gyro
• Asymptotic solutions of equations of dynamics
• Über die Instabilität konservativer Systeme mit gyroskopischen Kräften
• Differentiable solutions to degenerate systems of ordinary equations
• Stabilité ou instabilité des points fixes elliptiques
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