Geodesic
New integrable systems as a~limit of the~elliptic $SL(N,\mathbb C)$ top
Teoretičeskaâ i matematičeskaâ fizika, Tome 171 (2012) no. 2, pp. 196-207

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We consider the scaling limit of an elliptic top. This limit is a combination of a scaling of the elliptic top variables, an infinite shift of the spectral parameter, and the trigonometric limit. We give general necessary constraints on the scaling of the variables and examples of such a degeneracy. A certain subclass of limit systems is integrable in the Liouville sense, which can also be shown directly.
Keywords: integrable system, Inozemtsev limit, integrability test, elliptic top. 
@article{TMF_2012_171_2_a1,
     author = {S. Arthamonov},
     title = {New integrable systems as a~limit of the~elliptic $SL(N,\mathbb C)$ top},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {196--207},
     publisher = {mathdoc},
     volume = {171},
     number = {2},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2012_171_2_a1/}
}
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S. Arthamonov. New integrable systems as a~limit of the~elliptic $SL(N,\mathbb C)$ top. Teoretičeskaâ i matematičeskaâ fizika, Tome 171 (2012) no. 2, pp. 196-207. http://geodesic.mathdoc.fr/item/TMF_2012_171_2_a1/