| Authors: | Dragović, Vladimir Gajić, Borislav |
Title: | Some Recent Generalizations of the Classical Rigid Body Systems | Journal: | Arnold Mathematical Journal | Volume: | 2 | Issue: | 4 | First page: | 511 | Last page: | 578 | Issue Date: | 1-Dec-2016 | ISSN: | 2199-6792 | DOI: | 10.1007/s40598-016-0054-6 | Abstract: | Some recent generalizations of the classical rigid body systems are reviewed. The cases presented include dynamics of a heavy rigid body fixed at a point in three-dimensional space, the Kirchhoff equations of motion of a rigid body in an ideal incompressible fluid as well as their higher-dimensional generalizations. |
Keywords: | Algebro-geometric integration procedure | Baker–Akhiezer function | Euler–Arnold equations | Grioli precession | Kirchhoff equations | Lax representation | Rigid body dynamics | Publisher: | Springer Link | Project: | Geometry and Topology of Manifolds, Classical Mechanics and Integrable Dynamical Systems |
Show full item record
SCOPUSTM
Citations
7
checked on Dec 27, 2024
Page view(s)
17
checked on Dec 27, 2024
Google ScholarTM
Check
Altmetric
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.