Separating the rapid and slow motions in the problems of the dynamics of systems of rigid bodies and gyroscopes

DOI10.1016/0021-8928(88)90056-1zbMath0691.70004OpenAlexW1971312909MaRDI QIDQ582947

S. V. Bogatyrev, Vladimir Sobolev

Publication date: 1988

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(88)90056-1

zbMATH Keywords

asymptotic separation of rapid and slow motionsBogolyubov-Mitropol'skij theory of integral manifoldsregular, finite-dimensional system

Mathematics Subject Classification ID

Free motion of a rigid body (70E15) (n)-body problems (70F10) Motion of the gyroscope (70E05) Dynamical systems and ergodic theory (37-XX)

Related Items (2)

Slow motions in problems of the dynamics of a solid with a cavity filled with a viscous liquid ⋮ Stability diagrams of the periodic motions of a pendulum with an oscillating axis

Cites Work

• The laws of variation of energy and momentum for one-dimensional systems with moving mountings and loads
• Unnamed Item

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