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research article

Chaplygin systems associated to Cartan decompositions of semi-simple Lie groups

Hochgerner, Simon  
2010
Differential Geometry And Its Applications

We relate a Chaplygin type system to a Cartan decomposition of a real semi-simple Lie group. The resulting system is described in terms of the structure theory associated to the Cartan decomposition. It is shown to possess a preserved measure and when internal symmetries are present these are factored out via a process called truncation. Furthermore, a criterion for Hamiltonizability of the system on the so-called ultimate reduced level is given. As important special cases we find the Chaplygin ball rolling on a table and the rubber ball rolling over another ball. (C) 2010 Elsevier B.V. All rights reserved.

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Type
research article
DOI
10.1016/j.difgeo.2010.04.003
Web of Science ID

WOS:000279229000005

Author(s)
Hochgerner, Simon  
Date Issued

2010

Publisher

Elsevier

Published in
Differential Geometry And Its Applications
Volume

28

Start page

436

End page

453

Subjects

Non-holonomic systems

•

Symmetries

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
CAG2  
Available on Infoscience
December 16, 2011
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/75408
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