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Regular and Chaotic Dynamics, 2018, Volume 23, Issue 6, Pages 785–796
DOI: https://doi.org/10.1134/S1560354718060114 (Mi rcd366) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On Discretization of the Euler Top

Andrey V. Tsiganovab

a St. Petersburg State University, ul. Ulyanovskaya 1, St. Petersburg, 198504 Russia
b Udmurt State University, ul. Universitetskaya 1, Izhevsk, 426034 Russia
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DOI: https://doi.org/10.1134/S1560354718060114
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.
Keywords: Euler top, finite-difference equations, arithmetic of divisors.
Funding agency Grant number
Russian Science Foundation 15-12-20035
The work was supported by the Russian Science Foundation (project 15-12-20035).
Received: 12.03.2018
Accepted: 03.07.2018
Bibliographic databases:
Document Type: Article
MSC: 37J35,70H06
Language: English
Citation: Andrey V. Tsiganov, “On Discretization of the Euler Top”, Regul. Chaotic Dyn., 23:6 (2018), 785–796
Citation in format AMSBIB
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\by Andrey V. Tsiganov
\paper On Discretization of the Euler Top
\jour Regul. Chaotic Dyn.
\yr 2018
\vol 23
\issue 6
\pages 785--796
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