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Title
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Invariant Lagrangians, mechanical connections and the Lagrange-Poincare equations
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Author
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Abstract
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| We deal with Lagrangian systems that are invariant under the action of a symmetry group. The mechanical connection is a principal connection that is associated with Lagrangians which have a kinetic energy function that is defined by a Riemannian metric. In this paper, we extend this notion to arbitrary Lagrangians. We then derive the reduced Lagrange-Poincar e equations in a new fashion and we show how solutions of the Euler-Lagrange equations can be reconstructed with the help of the mechanical connection. Illustrative examples confirm the theory. |
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Language
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English
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Source (journal)
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Journal of physics : A : mathematical and theoretical / Institute of Physics [London] - London
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Publication
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London
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2008
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ISSN
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1751-8113
[print]
1751-8121
[online]
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DOI
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10.1088/1751-8113/41/34/344015
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Volume/pages
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41
:34
(2008)
, p. 1-20
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Article Reference
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344015
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ISI
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000258385900016
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Medium
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E-only publicatie
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Full text (Publisher's DOI)
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