Symmetry, Integrability and Geometry: Methods and Applications
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


SIGMA:
Year:
Volume:
Issue:
Page:
Find




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

Symmetry, Integrability and Geometry: Methods and Applications, 2012, Volume 8, 070, 12 pp.
DOI: https://doi.org/10.3842/SIGMA.2012.070 (Mi sigma747) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Superintegrable extensions of superintegrable systems

Claudia M. Chanua, Luca Degiovannib, Giovanni Rastellic

a Dipartimento di Matematica, Università di Torino, Torino, via Carlo Alberto 10, Italy
b Formerly at Dipartimento di Matematica, Università di Torino, Torino, via Carlo Alberto 10, Italy
c Independent researcher, cna Ortolano 7, Ronsecco, Italy
Full-text PDF (343 kB) Citations (11)
References:
PDF
HTML
DOI: https://doi.org/10.3842/SIGMA.2012.070
URL: https://emis.mi.ras.ru/journals/SIGMA/2012/070
Abstract: A procedure to extend a superintegrable system into a new superintegrable one is systematically tested for the known systems on $\mathbb E^2$ and $\mathbb S^2$ and for a family of systems defined on constant curvature manifolds. The procedure results effective in many cases including Tremblay–Turbiner–Winternitz and three-particle Calogero systems.
Keywords: superintegrable Hamiltonian systems; polynomial first integrals.
Received: July 30, 2012; in final form September 27, 2012; Published online October 11, 2012
Bibliographic databases:
Document Type: Article
MSC: 70H06; 70H33; 53C21
Language: English
Citation: Claudia M. Chanu, Luca Degiovanni, Giovanni Rastelli, “Superintegrable extensions of superintegrable systems”, SIGMA, 8 (2012), 070, 12 pp.
Citation in format AMSBIB
\Bibitem{ChaDegRas12}
\by Claudia M. Chanu, Luca Degiovanni, Giovanni Rastelli
\paper Superintegrable extensions of superintegrable systems
\jour SIGMA
\yr 2012
\vol 8
\papernumber 070
\totalpages 12
\mathnet{http://mi.mathnet.ru/sigma747}
\crossref{https://doi.org/10.3842/SIGMA.2012.070}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2988024}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000312372000001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84867732262}
Linking options:
  • https://www.mathnet.ru/eng/sigma747
  • https://www.mathnet.ru/eng/sigma/v8/p70
    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025