Variational principles for spin systems and the Kirchhoff rod

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dc.creatorGay-Balmaz, F.
dc.creatorHolm, D. D.
dc.creatorRatiu, T. S.
dc.date2009-04-08
dc.date.accessioned2026-07-07T13:01:53Z
dc.date.available2026-07-07T13:01:53Z
dc.descriptionWe obtain the affine Euler-Poincaré equations by standard Lagrangian reduction and deduce the associated Clebsch-constrained variational principle. These results are illustrated in deriving the equations of motion for continuum spin systems and Kirchhoff's rod, where they provide a unified geometric interpretation.
dc.descriptionSubmitted to Journal of Geometric Mechanics, 29 pages, no figures
dc.identifierhttps://arxiv.org/abs/0904.1428
dc.identifierhttp://arxiv.org/abs/0904.1428
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/226301
dc.subjectChaotic Dynamics
dc.titleVariational principles for spin systems and the Kirchhoff rod
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