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, 2015, Volume 11, 094, 9 pp.
DOI: https://doi.org/10.3842/SIGMA.2015.094 (Mi sigma1075) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Extended Hamiltonians, Coupling-Constant Metamorphosis and the Post–Winternitz System

Claudia Maria Chanu, Luca Degiovanni, Giovanni Rastelli

Dipartimento di Matematica, Università di Torino, Torino, via Carlo Alberto 10, Italy
Full-text PDF (319 kB) Citations (8)
References:
PDF
HTML
DOI: https://doi.org/10.3842/SIGMA.2015.094
Abstract: The coupling-constant metamorphosis is applied to modified extended Hamiltonians and sufficient conditions are found in order that the transformed high-degree first integral of the transformed Hamiltonian is determined by the same algorithm which computes the corresponding first integral of the original extended Hamiltonian. As examples, we consider the Post–Winternitz system and the 2D caged anisotropic oscillator.
Keywords: superintegrable systems; extended systems; coupling-constant metamorphosis.
Received: September 26, 2015; in final form November 16, 2015; Published online November 24, 2015
Bibliographic databases:
Document Type: Article
MSC: 37J35; 70H33
Language: English
Citation: Claudia Maria Chanu, Luca Degiovanni, Giovanni Rastelli, “Extended Hamiltonians, Coupling-Constant Metamorphosis and the Post–Winternitz System”, SIGMA, 11 (2015), 094, 9 pp.
Citation in format AMSBIB
\Bibitem{ChaDegRas15}
\by Claudia~Maria~Chanu, Luca~Degiovanni, Giovanni~Rastelli
\paper Extended Hamiltonians, Coupling-Constant Metamorphosis and the Post--Winternitz System
\jour SIGMA
\yr 2015
\vol 11
\papernumber 094
\totalpages 9
\mathnet{http://mi.mathnet.ru/sigma1075}
\crossref{https://doi.org/10.3842/SIGMA.2015.094}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000366404500001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84948845559}
Linking options:
  • https://www.mathnet.ru/eng/sigma1075
  • https://www.mathnet.ru/eng/sigma/v11/p94
    • This publication is cited in the following 8 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, 2024