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Regular and Chaotic Dynamics, 2011, Volume 16, Issue 3-4, Pages 245–289
DOI: https://doi.org/10.1134/S1560354711030051 (Mi rcd438) 		 
This article is cited in 52 scientific papers (total in 52 papers)

On Integrability of Hirota–Kimura Type Discretizations

Matteo Petrera, Andreas Pfadler, Yuri B. Suris

Institut für Mathematik, MA 7-2, Technische Universität Berlin, Str. des 17. Juni 136, 10623 Berlin, Germany
Full-text PDF Citations (52)
DOI: https://doi.org/10.1134/S1560354711030051
Abstract: We give an overview of the integrability of the Hirota–Kimura discretizationmethod applied to algebraically completely integrable (a.c.i.) systems with quadratic vector fields. Along with the description of the basic mechanism of integrability (Hirota–Kimura bases), we provide the reader with a fairly complete list of the currently available results for concrete a.c.i. systems.
Keywords: algebraic integrability, integrable systems, integrable discretizations, birational dynamics.
Received: 03.08.2010
Accepted: 24.10.2010
Bibliographic databases:
Document Type: Article
MSC: 37K10, 14E05, 37J35, 37M15, 70E40
Language: English
Citation: Matteo Petrera, Andreas Pfadler, Yuri B. Suris, “On Integrability of Hirota–Kimura Type Discretizations”, Regul. Chaotic Dyn., 16:3-4 (2011), 245–289
Citation in format AMSBIB
\Bibitem{PetPfaSur11}
\by Matteo Petrera, Andreas Pfadler, Yuri B. Suris
\paper On Integrability of Hirota–Kimura Type Discretizations
\jour Regul. Chaotic Dyn.
\yr 2011
\vol 16
\issue 3-4
\pages 245--289
\mathnet{http://mi.mathnet.ru/rcd438}
\crossref{https://doi.org/10.1134/S1560354711030051}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2810980}
\zmath{https://zbmath.org/?q=an:1258.37067}
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    • This publication is cited in the following 52 articles:
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