|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|
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