Email this article On Discretization of the Euler Top
- Authors: Tsiganov A.V.1,2
-
Affiliations:
- St. Petersburg State University
- Udmurt State University
- Issue: Vol 23, No 6 (2018)
- Pages: 785-796
- Section: Article
- URL: https://ogarev-online.ru/1560-3547/article/view/219155
- DOI: https://doi.org/10.1134/S1560354718060114
- ID: 219155
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Abstract
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.
About the authors
Andrey V. Tsiganov
St. Petersburg State University; Udmurt State University
Author for correspondence.
Email: a.tsyganov@spbu.ru
Russian Federation, ul. Ulyanovskaya 1, St. Petersburg, 198504; ul. Universitetskaya 1, Izhevsk, 426034
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