Sarlet, W.; Saunders, D. J. and Cantrijn, F.
|DOI (Digital Object Identifier) Link:||http://dx.doi.org/10.1016/j.geomphys.2004.12.006|
|Google Scholar:||Look up in Google Scholar|
We discuss a general mechanism by which first integrals of mechanical systems, in particular systems that satisfy non-holonomic constraints, can be obtained from a systematic search for adjoint symmetries. Such an approach has already been used in our earlier work and is re-advocated here in the context of a recent analysis by Giachetta, in which first integrals are generated by vector fields which are not symmetries. Further advantages of our approach are: the fact that an essential projection operator associated to the constraints need not be related to some given fibre metric on the full evolution space, and the specific selection of a connection, which is naturally associated to this projection and the second-order dynamics on the constraint submanifold. The computational aspects of the method are illustrated by some simple examples.
|Item Type:||Journal Article|
|Copyright Holders:||2004 Elsevier B.V.|
|Keywords:||non-holonomic systems; first integrals; adjoint symmetries|
|Academic Unit/Department:||Social Sciences > Sociology
|Depositing User:||Colin Smith|
|Date Deposited:||07 Sep 2009 13:54|
|Last Modified:||15 Jan 2016 11:48|
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