On the stability of Poincaré periodic solutions of Hamiltonian systems

DOI10.1016/0021-8928(84)90080-7zbMath0573.70020OpenAlexW1998015558MaRDI QIDQ1062782

A. A. Saitbattalov

Publication date: 1985

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)90080-7

zbMATH Keywords

two degrees of freedomorbital stabilityautonomous Hamiltonian systemsnondegenerate unperturbed systemPoincaré periodic solutions

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Hamilton's equations (70H05)

Cites Work

• New periodic solutions for the problem of motion of a heavy solid body around a fixed point
• SMALL DENOMINATORS AND PROBLEMS OF STABILITY OF MOTION IN CLASSICAL AND CELESTIAL MECHANICS
• A Proof of the Convergence of the Poincare-von Zeipel Procedure in Celestial Mechanics
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