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Regular and Chaotic Dynamics, 2005, Volume 10, Issue 2, Pages 145–152
DOI: https://doi.org/10.1070/RD2005v010n02ABEH000308 (Mi rcd703) 		 
This article is cited in 7 scientific papers (total in 7 papers)

150th anniversary of H. Poincaré

Generating discrete Painlevé equations from affine Weyl groups

B. Grammaticosa, A. Ramanib

a GMPIB, Université Paris VII, Tour 24-14, 5e étage, case 7021, 75251 Paris, France
b CPT, Ecole Polytechnique, CNRS, UMR 7644, 91128 Palaiseau, France
Citations (7)
DOI: https://doi.org/10.1070/RD2005v010n02ABEH000308
Abstract: We show how, starting from the geometrical description of discrete Painlevé equations in terms of affine Weyl groups, one can generate new second-order systems. We use this approach to introduce a new definition of the discrete Painlevé equations which eschews the reference to continuous systems.
Keywords: discrete Painlevé equations, integrability, Weyl groups, Bücklund transformations.
Received: 12.11.2004
Accepted: 18.01.2005
Bibliographic databases:
Document Type: Article
MSC: 39A10
Language: English
Citation: B. Grammaticos, A. Ramani, “Generating discrete Painlevé equations from affine Weyl groups”, Regul. Chaotic Dyn., 10:2 (2005), 145–152
Citation in format AMSBIB
\Bibitem{GraRam05}
\by B.~Grammaticos, A.~Ramani
\paper Generating discrete Painlev\'{e} equations from affine Weyl groups
\jour Regul. Chaotic Dyn.
\yr 2005
\vol 10
\issue 2
\pages 145--152
\mathnet{http://mi.mathnet.ru/rcd703}
\crossref{https://doi.org/10.1070/RD2005v010n02ABEH000308}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2159012}
\zmath{https://zbmath.org/?q=an:1119.39301}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2005RCD....10..145G}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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