On new solutions of the Kirchhoff equations in the case of asymptotically uniform motion of a spherical gyrostat.
type: Item
instance of: scholarly article
zbMATH Open document ID: 1249.70021
author: E. K. Shchetinina
publication date: 2012-07-31T00:00:00Z
Mathematics Subject Classification ID: 70E99
Mathematics Subject Classification ID: 34D08
Mathematics Subject Classification ID: 70E17
zbMATH DE Number: 6062151
zbMATH Keywords: gyrostat
zbMATH Keywords: uniform rotation
zbMATH Keywords: asymptotic motion
zbMATH Keywords: Lyapunov exponents
MaRDI profile type: Publication
title: On new solutions of the Kirchhoff equations in the case of asymptotically uniform motion of a spherical gyrostat.
published in: Trudy Instituta Prikladnoĭ Matematiki i Mekhaniki
review text: The motion equations of a spherical gyrostat under the action of potential and gyroscopic forces are considered in the paper. The dynamics is governed by three Kirchhoff's equations with respect to the angular velocity vector and three Poisson's equations with respect to the symmetry vector of the force field. A family of uniform rotations of the gyrostat is introduced depending on the angular velocity parameter. The author studies asymptotical motions for such a family of uniform rotations. The existence of an asymptotically uniform motion is established by using the Lyapunov series.
description: scientific article; zbMATH DE number 6062151