Kolmogorov tori in certain nonintegrable systems, not containing small parameters

zbMath0659.70026MaRDI QIDQ1112637

S. A. Dovbysh

Publication date: 1988

Published in: Moscow University Mechanics Bulletin (Search for Journal in Brave)

zbMATH Keywords

phase spaceKolmogorov setKolmogorov-Arnol'd-Moser theoryKolmogorov toriplane oscillations of a pendulumrotation of a symmetric heavy body with a fixed pointsatellite moving along an elliptic orbit

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) (n)-body problems (70F10) Stability theory for smooth dynamical systems (37C75) Motion of the gyroscope (70E05) Classical field theories (70Sxx)

Related Items (1)

Kolmogorov stability, the impossibility of Fermi acceleration and the existence of periodic solutions in some Hamiltonian-type systems

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