On discretization of the Euler top

Abstract

Application of the 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.

12 pages, 2 figures, LaTeX with AMS fonts, version with corrected misprints

References in corpus (5)

• Simultaneous separation for the Neumann and Chaplygin systems
• New bi-Hamiltonian systems on the plane
• Backlund transformations and divisor doubling
• Bäcklund transformations for the nonholonomic Veselova system
• Integrable discretization and deformation of the nonholonomic Chaplygin ball

Cited by in corpus (2)

• Discretization and superintegrability all rolled into one
• On tensor invariants of the Clebsch system