The stability of Hamiltonian systems in the case of a multiple fourth- order resonance

DOI10.1016/0021-8928(92)90013-XzbMath0793.58017OpenAlexW2058527507MaRDI QIDQ1314208

A. A. Tuyakbaev, A. L. Kunitsyn

Publication date: 7 March 1994

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(92)90013-x

zbMATH Keywords

stabilityeigenvaluesHamiltonian systemsresonances

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (3)

Instability of equilibrium solutions of Hamiltonian systems with \(n\)-degrees of freedom under the existence of multiple resonances and an application to the spatial satellite problem ⋮ Nonlinear stability of elliptic equilibria in Hamiltonian systems with resonances of order four with interactions ⋮ Stability of equilibrium solutions of autonomous and periodic Hamiltonian systems in the case of multiple resonances

Cites Work

• The stability of neutral systems in the case of a multiple fourth-order resonance
• On stability in the presence of several resonances
• On the stability of Hamiltonian systems in the presence of resonances
• Unnamed Item

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