Method of constructing and investigating stability of periodic motions of autonomous Hamiltonian systems

DOI10.1016/0021-8928(78)90088-6zbMath0426.70026OpenAlexW1819482226MaRDI QIDQ1136260

Anatoliy P. Markeev, Andrej G. Sokolsky

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(78)90088-6

zbMATH Keywords

orbital stabilityautonomous Hamiltonian systemsLiapunov motions

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Stability for nonlinear problems in mechanics (70K20) Hamilton's equations (70H05) Stability of solutions to ordinary differential equations (34D20) (n)-body problems (70F10)

Cites Work

• Interaction of third-order resonances in problems of the stability of Hamiltonian systems
• On the stability problem for the Lagrange solutions of the restricted three-body problem
• On the problem of stability of equilibrium positions of Hamiltonian systems
• New aspects in the theory of stability of Hamiltonian systems
• SMALL DENOMINATORS AND PROBLEMS OF STABILITY OF MOTION IN CLASSICAL AND CELESTIAL MECHANICS
• Canonical transformations depending on a small parameter
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