On the stability of small quasiperiodic motions in the hamiltonian systems

DOI10.1007/BF01228958zbMath0391.34029WikidataQ100158613 ScholiaQ100158613MaRDI QIDQ4172338

Andrej G. Sokolsky

Publication date: 1978

Published in: Celestial Mechanics (Search for Journal in Brave)

zbMATH Keywords

Hamiltonian SystemsSmall Plane MotionsSmall-Quasiperiodic MotionsStability of Particular Quasiperiodic Solutions

Mathematics Subject Classification ID

Hamilton's equations (70H05) Stability of solutions to ordinary differential equations (34D20) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Stability theory for smooth dynamical systems (37C75) Periodic and quasi-periodic flows and diffeomorphisms (37C55)

Related Items (2)

Non-linear stability in photogravitational non-planar restricted three body problem with oblate smaller primary ⋮ Analytic continuation of quasi-periodic orbits from nonlinear periodic modes

Cites Work

• On a generalization of the theory of error accumulation
• Convergent series expansions for quasi-periodic motions
• New aspects in the theory of stability of Hamiltonian systems
• Periodic solutions near a resonant equilibrium of a Hamiltonian system
• Periodic orbits emanating from a resonant equilibrium
• The Trojan Manifold — Survey and Conjectures
• A nonlinear stability problem in the three dimensional restricted three body problem
• Unnamed Item
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