On the extremality hypothesis of stable resonance motions

DOI10.1016/0021-8928(84)90021-2zbMath0575.70022OpenAlexW2018660159MaRDI QIDQ1064094

G. V. Kasatkin

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)90021-2

zbMATH Keywords

averaging methodBeletskij hypothesisminimum of the averaged potentialneighbourhood of triangular points of librationneighbourhoods of the lower and upper equilibrium positionsphysical pendulum with a rapidly oscillating point of suspensionplane circular restricted three-body problemstable, isolated, synchronous motions

Mathematics Subject Classification ID

Nonlinear resonances for nonlinear problems in mechanics (70K30)

Cites Work

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