On the application of KBM method for the 3-D motion of asymmetric rigid body

DOI10.1007/s11071-017-3537-7zbMath1375.70016OpenAlexW2613036212MaRDI QIDQ1683871

I. M. Abady, T. S. Amer

Publication date: 1 December 2017

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-017-3537-7

zbMATH Keywords

first integralsEuler-Poisson's equationsKrylov-Bogoliubov-mitropolski technique

Mathematics Subject Classification ID

Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Motion of a rigid body with a fixed point (70E17)

Related Items (7)

Modeling of the optimal deceleration for the rotatory motion of asymmetric rigid body ⋮ On new modifications of some perturbation procedures ⋮ The periodic rotary motions of a rigid body in a new domain of angular velocity ⋮ The dynamical motion of a gyrostat for the irrational frequency case ⋮ Application of a large-parameter technique for solving a singular case of a rigid body ⋮ Substantial condition for the fourth first integral of the rigid body problem ⋮ On the spinning motion of a disc under the influence a gyrostatic moment

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