On instability in the presence of several resonances

DOI10.1016/0021-8928(79)90030-3zbMath0462.70012OpenAlexW1627634475MaRDI QIDQ1152959

V. E. Zhavnerchik

Publication date: 1979

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(79)90030-3

zbMATH Keywords

Chetaev's theoremautonomous nonlinear 2n-th order system

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Stability of solutions to ordinary differential equations (34D20) Nonlinear resonances for nonlinear problems in mechanics (70K30)

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 ⋮ On stability in the presence of multiple resonance of odd order

Cites Work

• On the stability of autonomous systems in the presence of several resonances
• On stability in the presence of several resonances
• Certain stability questions in the presence of resonances
• On stability of autonomous systems with internal resonance
• On the problem of interaction of resonances
• On certain questions related to the problem of the stability of unsteady motion

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