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Article Contents

# Variational principles for spin systems and the Kirchhoff rod

• We 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.
Mathematics Subject Classification: Primary: 70H33, 70G65, 70G75; Secondary: 74K10, 82D30.

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