Kinematical constraints and algebroids

This note intends to establish a link between the description of dynamics on a Lie algebroid defined by an integrable subbundle of the tangent bundle, and the dynamics associated to the Hamiltonian structure defined by [14] in the case of holonomic constraints.

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Bibliographic Details
Published in:Reports on mathematical physics 2001-06, Vol.47 (3), p.413-429
Main Authors: Clemente-Gallardo, J., Mascheke, B., van der Schaft, A.J.
Format: Article
Language:English
Subjects:
constrained dynamics
Lie algebroids
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Description
Summary:This note intends to establish a link between the description of dynamics on a Lie algebroid defined by an integrable subbundle of the tangent bundle, and the dynamics associated to the Hamiltonian structure defined by [14] in the case of holonomic constraints.
ISSN:0034-4877
1879-0674
DOI:10.1016/S0034-4877(01)80053-7