Geodesic
Noncanonical time transformations relating finite-dimensional integrable systems
Teoretičeskaâ i matematičeskaâ fizika, Tome 120 (1999) no. 1, pp. 27-53 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider dual Stäckel schemes related to each other by a noncanonical transformation of the time variable. We prove that this duality of different integrable systems arises from the multivaluedness of the Abel mapping. We construct the Lax matrices and the $r$-matrix algebras for some integrable systems on a plane. The integrable deformations of the Kepler problem and the Holt-type systems are considered in detail. 
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A. V. Tsiganov. Noncanonical time transformations relating finite-dimensional integrable systems. Teoretičeskaâ i matematičeskaâ fizika, Tome 120 (1999) no. 1, pp. 27-53. http://geodesic.mathdoc.fr/item/TMF_1999_120_1_a2/

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