Periodic solutions of equations of motion of a heavy solid applying Krylov-Bogolyubov-Mitropolski method

DOI10.1016/S0377-0427(99)00274-5zbMath0986.70003OpenAlexW2055859699WikidataQ127652079 ScholiaQ127652079MaRDI QIDQ1970405

Yanyan Li

Publication date: 6 June 2002

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(99)00274-5

zbMATH Keywords

periodic solutionsperturbationellipsoid of inertiaheavy body with fixed pointKrylov-Bogolyubov-Mitropolski method

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) General perturbation schemes for nonlinear problems in mechanics (70K60) Perturbation methods for rigid body dynamics (70E20) Motion of a rigid body with a fixed point (70E17)

Related Items (4)

On new modifications of some perturbation procedures ⋮ On the application of KBM method for the 3-D motion of asymmetric rigid body ⋮ The rotational motion of a symmetric rigid body similar to Kovalevskaya's case ⋮ On the spinning motion of a disc under the influence a gyrostatic moment

Cites Work

• A Perturbation Method for Treating Nonlinear Oscillation Problems
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