Geodesic
Multiplicative dynamical systems in terms of the induced dynamics
Teoretičeskaâ i matematičeskaâ fizika, Tome 204 (2020) no. 3, pp. 436-444 Cet article a éte moissonné depuis la source Math-Net.Ru

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We realize an example of induced dynamics using new multiplicative determinant relations whose roots give the particle positions. We present both a general scheme for describing completely integrable dynamical systems parameterized by an arbitrary $N\times N$ matrix of momenta and an explicit model that interpolates between the Calogero–Moser and Ruijsenaars–Schneider hyperbolic systems. We consider some special cases of this model in detail.
Keywords: induced dynamics, completely integrable system. 
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     author = {A. K. Pogrebkov},
     title = {Multiplicative dynamical systems in terms of the~induced dynamics},
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A. K. Pogrebkov. Multiplicative dynamical systems in terms of the induced dynamics. Teoretičeskaâ i matematičeskaâ fizika, Tome 204 (2020) no. 3, pp. 436-444. http://geodesic.mathdoc.fr/item/TMF_2020_204_3_a7/

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