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A Lie algebroid framework for non-holonomic systems

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Published 19 January 2005 • 2005 IOP Publishing Ltd
, , Citation Tom Mestdag and Bavo Langerock 2005 J. Phys. A: Math. Gen. 38 1097 DOI 10.1088/0305-4470/38/5/011

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Author affiliations

1 Department of Mathematical Physics and Astronomy, Ghent University, Krijgslaan 281, B-9000 Ghent, Belgium

2 Postdoctoral Fellow of the Fund for Scientific Research—Flanders (Belgium)

Dates

  1. Received 21 October 2004
  2. Published

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0305-4470/38/5/1097

Abstract

In order to obtain a framework in which both non-holonomic mechanical systems and non-holonomic mechanical systems with symmetry can be described, we introduce in this paper the notion of a Lagrangian system on a subbundle of a Lie algebroid.

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10.1088/0305-4470/38/5/011