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Nonlinear Sciences > Exactly Solvable and Integrable Systems

Title: On discretization of the Euler top

Authors: A.V. Tsiganov
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.
Comments: 12 pages, 2 figures, LaTeX with AMS fonts
Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Mathematical Physics (math-ph); Dynamical Systems (math.DS)
Cite as: arXiv:1803.06511 [nlin.SI]
  (or arXiv:1803.06511v1 [nlin.SI] for this version)

Submission history

From: Andrey Tsiganov [view email]
[v1] Sat, 17 Mar 2018 14:12:56 GMT (151kb)