Geodesic
Finite-Dimensional Discrete Systems Integrated in Quadratures
Teoretičeskaâ i matematičeskaâ fizika, Tome 138 (2004) no. 3, pp. 422-436 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider finite-dimensional reductions (truncations) of discrete systems of the type of the Toda chain with discrete time that retain the integrability. We show that for finite-dimensional chains, in addition to integrals of motion, we can construct a rich family of higher symmetries described by the master symmetry. We reduce the problem of integrating a finite-dimensional system to the implicit function theorem.
Keywords: integrability, truncation condition, zero-curvature equation, classical symmetry, master symmetry, integrals of motion. 
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     title = {Finite-Dimensional {Discrete} {Systems} {Integrated} in {Quadratures}},
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T. G. Kazakova. Finite-Dimensional Discrete Systems Integrated in Quadratures. Teoretičeskaâ i matematičeskaâ fizika, Tome 138 (2004) no. 3, pp. 422-436. http://geodesic.mathdoc.fr/item/TMF_2004_138_3_a5/

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