On stability in the presence of several resonances

DOI10.1016/0021-8928(77)90033-8zbMath0442.34050OpenAlexW1990146742MaRDI QIDQ1143562

S. V. Medvedev, A. L. Kunitsyn

Publication date: 1978

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(77)90033-8

zbMATH Keywords

Ljapunov stabilityautonomous system of ordinary differential equationsseveral resonance

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20)

Related Items (12)

Lyapunov stability and sign definiteness of a quadratic form in a cone ⋮ 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 ⋮ On the stability of autonomous systems 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 ⋮ On stability in one critical case ⋮ On stability of periodic motions in a particular critical case ⋮ On stability in the presence of multiple resonance of odd order ⋮ The stability of a class of reversible systems ⋮ The stability of Hamiltonian systems in the case of a multiple fourth- order resonance ⋮ Small vibrations of one-dimensional moving bodies

Cites Work

• Certain stability questions in the presence of resonances
• On stability of autonomous systems with internal resonance
• Stability in the critical case of three pairs of pure imaginary roots in the presence of internal resonance
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