On Discretization of the Euler Top

    2018, Volume 23, Number 6, pp.  785-796

    Author(s): Tsiganov A. V.

    The application of intersection theory to construction of $n$-point finite-difference equations associated with classical integrable systems is discussed. As an example, we present a few new discretizations of motion of the Euler top sharing the integrals of motion with the continuous time system and the Poisson bracket up to the integer scaling factor.
    Keywords: Euler top, finite-difference equations, arithmetic of divisors
    Citation: Tsiganov A. V., On Discretization of the Euler Top, Regular and Chaotic Dynamics, 2018, Volume 23, Number 6, pp. 785-796

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