Certain stability questions in the presence of resonances

DOI10.1016/0021-8928(74)90087-2zbMath0302.34062OpenAlexW1642879527MaRDI QIDQ1215886

G. G. Khazina

Publication date: 1974

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(74)90087-2

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Stability of solutions to ordinary differential equations (34D20)

Related Items (14)

On the stability of autonomous systems in the presence of several resonances ⋮ On stability in the presence of several resonances ⋮ On stability of constant Laplace solutions of the unrestricted three-body problem ⋮ On multiple fourth-order resonances in a nonautonomous two-degree-of-freedom Hamiltonian system ⋮ On instability in the presence of several resonances ⋮ Equilibrium stability conditions under 1:3 resonance ⋮ On stability of periodic motions in a particular critical case ⋮ Bifurcations and stability of neutral systems in the neighborhood of third order resonance ⋮ On the possibility of resonance stabilization of a system of oscillators ⋮ Stability of the periodic solutions of incompletely symmetrical quasilinear gyroscopic systems in critical cases ⋮ On stability of autonomous systems with internal resonance ⋮ On the problem of interaction of resonances ⋮ Asymptotic decay of solutions to an essentially nonlinear system with two-frequency resonances ⋮ On the stability of the equilibrium position in critical and near- critical cases

Cites Work

• Interaction of third-order resonances in problems of the stability of Hamiltonian systems
• On the stability of certain systems under resonance conditions

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