Variational Constrained Mechanics on Lie Affgebroids

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dc.creatorMarrero, Juan Carlos
dc.creatorde Diego, David Martin
dc.creatorSosa, Diana
dc.date2008-09-26
dc.date.accessioned2026-07-07T10:05:44Z
dc.date.available2026-07-07T10:05:44Z
dc.descriptionIn this paper we discuss variational constrained mechanics (vakonomic mechanics) on Lie affgebroids. We obtain the dynamical equations and the aff-Poisson bracket associated with a vakonomic system on a Lie affgebroid ${\mathcal A}$. We devote special attention to the particular case when the nonholonomic constraints are given by an affine subbundle of ${\mathcal A}$ and we discuss the variational character of the theory. Finally, we apply the results obtained to several examples.
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/0809.4609
dc.identifierhttp://arxiv.org/abs/0809.4609
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/170097
dc.subjectMathematical Physics
dc.subject17B66; 37J60; 70F25; 70G45; 70G75; 70H30
dc.titleVariational Constrained Mechanics on Lie Affgebroids
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