Stability of the equilibrium position of hamiltonian systems

DOI10.1007/BF00884689zbMath0472.70017OpenAlexW2032145800MaRDI QIDQ3925919

N. N. Kozhukhovskii, Anatoly Martynyuk

Publication date: 1980

Published in: Soviet Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00884689

zbMATH Keywords

orbit structuredomain of definiteness of Hessian of HamiltonianLyapunov stable equilibrium point

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Hamilton's equations (70H05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Holonomic systems related to the dynamics of a system of particles (70F20)

Cites Work

• On equilibrium instability in holonomic mechanical systems with partial dissipation
• On a unique nonlinear oscillator
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