Discrete time generalized Toda lattices: Complete integrability and relation with relativistic Toda lattices

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Abstract

Complete integrability of discrete time generalized Toda lattices is proved. It is shown that continuous-time Hamiltonian dynamics defined by their integrals coincides with the flow of relativistic Ruijsenaars-Toda lattices. © 1990.

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Suris, Y. B. (1990). Discrete time generalized Toda lattices: Complete integrability and relation with relativistic Toda lattices. Physics Letters A, 145(2–3), 113–119. https://doi.org/10.1016/0375-9601(90)90202-Y

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