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Title

Singular Lagrangian systems and variational constrained mechanics on Lie algebroids

AuthorsIglesias, David; Marrero, Juan Carlos; Martín de Diego, David ; Sosa, Diana
KeywordsLie algebroids
Lagrangian Mechanics
Hamiltonian Mechanics
Constraint algorithm
Reduction
Singular Lagrangian systems
Vakonomic mechanics
Variational calculus
Issue Date19-Jun-2007
CitationarXiv:0706.2789v1
AbstractThe purpose of this paper is to describe Lagrangian Mechanics for constrained systems on Lie algebroids, a natural framework which covers a wide range of situations (systems on Lie groups, quotients by the action of a Lie group, standard tangent bundles...). In particular, we are interested in two cases: singular Lagrangian systems and vakonomic mechanics (variational constrained mechanics). Several examples illustrate the interest of these developments.
URIhttp://hdl.handle.net/10261/2524
Appears in Collections:(ICMAT) Artículos




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