Regular and Chaotic Dynamics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Regul. Chaotic Dyn.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Regular and Chaotic Dynamics, 2000, Volume 5, Issue 3, Pages 273–280
DOI: https://doi.org/10.1070/RD2000v005n03ABEH000149 (Mi rcd880) 		 
This article is cited in 54 scientific papers (total in 54 papers)

Asymmetric Discrete Painleve Equations

M. D. Kruskala, K. M. Tamizhmanib, B. Grammaticosc, A. Ramanid

a Department of Mathematics, Rutgers University, New Brunswick, NJ 08903, USA
b Department of Mathematics, Pondicherry University, Kalapet, Pondicherry — 605 014, India
c GMPIB, Universitè Paris VII, Tour 24-14, 5e ètage, 75251 Paris, France
d CPT, Ècole Polytechnique, CNRS, UMR 7644, 91128 Palaiseau, France
Citations (54)
DOI: https://doi.org/10.1070/RD2000v005n03ABEH000149
Abstract: We investigate the possible integrable nonautonomous forms of a given class of mappings involving more than one dependent variable. These integrable discrete systems define "asymmetric" Painlevé equations. Our main tool of investigation is the application of the singularity confinement discrete integrability criterion. A new way of implementing it, first proposed for the singularity analysis of continuous systems, is also introduced.
Received: 17.11.1999
Bibliographic databases:
Document Type: Article
MSC: 32S70, 34A20, 34A05
Language: English
Citation: M. D. Kruskal, K. M. Tamizhmani, B. Grammaticos, A. Ramani, “Asymmetric Discrete Painleve Equations”, Regul. Chaotic Dyn., 5:3 (2000), 273–280
Citation in format AMSBIB
\Bibitem{KruTamGra00}
\by M. D. Kruskal, K.~M.~Tamizhmani, B.~Grammaticos, A.~Ramani
\paper Asymmetric Discrete Painleve Equations
\jour Regul. Chaotic Dyn.
\yr 2000
\vol 5
\issue 3
\pages 273--280
\mathnet{http://mi.mathnet.ru/rcd880}
\crossref{https://doi.org/10.1070/RD2000v005n03ABEH000149}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1789477}
\zmath{https://zbmath.org/?q=an:0983.34083}
Linking options:
  • https://www.mathnet.ru/eng/rcd880
  • https://www.mathnet.ru/eng/rcd/v5/i3/p273
    • This publication is cited in the following 54 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:107
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024