On stability of mechanical systems under the action of position forces

DOI10.1016/0021-8928(80)90169-0zbMath0453.70014OpenAlexW2041321371MaRDI QIDQ1149271

V. N. Tkhai

Publication date: 1980

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(80)90169-0

zbMATH Keywords

internal resonancestationary constraintsBirkhoff stableLyapunov stability conditions

Mathematics Subject Classification ID

Stability for problems in linear vibration theory (70J25) Holonomic systems related to the dynamics of a system of particles (70F20)

Related Items (8)

Resonant Oscillations of a Controlled Reversible Mechanical System in the Vicinity of Equilibrium ⋮ Reversible dynamical systems: Dissipation-induced destabilization and follower forces ⋮ Asymptotic stability at 1:3 resonance ⋮ Unnamed Item ⋮ Reversible systems with first integrals ⋮ The stability of a class of reversible systems ⋮ Reversible systems. Stability at \(1:1\) resonance ⋮ The unsteady microrotational regime

Cites Work

• On the asymptotic stability of resonance systems
• On the stability of autonomous systems in the presence of several resonances
• On stability of autonomous systems with internal resonance
• Stable and Random Motions in Dynamical Systems
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