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From $\mathfrak{su}(2)$ Gaudin Models to Integrable Tops
Symmetry, integrability and geometry: methods and applications, Tome 3 (2007) Cet article a éte moissonné depuis la source Math-Net.Ru

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In the present paper we derive two well-known integrable cases of rigid body dynamics (the Lagrange top and the Clebsch system) performing an algebraic contraction on the two-body Lax matrices governing the (classical) $\mathfrak{su}(2)$ Gaudin models. The procedure preserves the linear $r$-matrix formulation of the ancestor models. We give the Lax representation of the resultingintegrable systems in terms of $\mathfrak{su}(2)$ Lax matrices with and elliptic dependencies on the spectral parameter. We finally give some results about the many-body extensions of the constructed systems.
Keywords: Gaudin models; spinning tops. 
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     title = {From $\mathfrak{su}(2)$ {Gaudin} {Models} to {Integrable} {Tops}},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2007_3_a57/}
}
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Matteo Petrera; Orlando Ragnisco. From $\mathfrak{su}(2)$ Gaudin Models to Integrable Tops. Symmetry, integrability and geometry: methods and applications, Tome 3 (2007). http://geodesic.mathdoc.fr/item/SIGMA_2007_3_a57/

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