Some conditions for the existence and stability of periodic oscillations in non-linear non-autonomous Hamiltonian systems

DOI10.1016/0021-8928(84)90014-5zbMath0585.70021OpenAlexW1988026487MaRDI QIDQ1070843

Alexandr A. Zevin

Publication date: 1984

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(84)90014-5

zbMATH Keywords

existenceperiodic solutionsuniquenessstability criteriasufficient conditionsmethod of continuationfirst approximationdirected width of stability regionsnon- autonomous Hamiltonian systemsperiodic oscillatory and rotational motionssmall dissipative forcestwo coupled pendulums

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)

Related Items (2)

Nonlocal criteria for the existence and stability of periodic oscillations in autonomous Hamiltonian systems ⋮ Unnamed Item

Cites Work

• Stability of periodic oscillations in systems with mild and strict nonlinearity
• On Poincaré's perturbation theorem and a theorem of W. S. Loud
• Application of a Lemma on Bilinear Forms to a Problem in Nonlinear Oscillations
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