Journal of Mathematical Sciences

, Volume 204, Issue 4, pp 379–530 | Cite as

Variety of Integrable Cases in Dynamics of Low- and Multi-Dimensional Rigid Bodies in Nonconservative Force Fields

Article

Abstract

This paper is a survey of integrable cases in dynamics of two-, three-, and four-dimensional rigid bodies under the action of a nonconservative force field. We review both new results and results obtained earlier. Problems examined are described by dynamical systems with so-called variable dissipation with zero mean.

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Authors and Affiliations

  1. 1.Institute of Mechanics of the M. V. Lomonosov Moscow State UniversityMoscowRussia

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