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research article
Chaplygin systems associated to Cartan decompositions of semi-simple Lie groups
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.
Type
research article
Web of Science ID
WOS:000279229000005
Authors
Publication date
2010
Publisher
Published in
Volume
28
Start page
436
End page
453
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
December 16, 2011
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