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