Superintegrable Extensions of Superintegrable Systems
A procedure to extend a superintegrable system into a new superintegrable one is systematically tested for the known systems on E² and S² and for a family of systems defined on constant curvature manifolds. The procedure results effective in many cases including Tremblay-Turbiner-Winternitz and thre...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2012 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2012
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/148469 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Superintegrable Extensions of Superintegrable Systems / C.M. Chanu, L. Degiovanni, G. Rastelli // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 10 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862575217066377216 |
|---|---|
| author | Chanu, C.M. Degiovanni, L. Rastelli, G. |
| author_facet | Chanu, C.M. Degiovanni, L. Rastelli, G. |
| citation_txt | Superintegrable Extensions of Superintegrable Systems / C.M. Chanu, L. Degiovanni, G. Rastelli // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 10 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | A procedure to extend a superintegrable system into a new superintegrable one is systematically tested for the known systems on E² and S² 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.
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| first_indexed | 2025-11-26T11:50:28Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-148469 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-26T11:50:28Z |
| publishDate | 2012 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Chanu, C.M. Degiovanni, L. Rastelli, G. 2019-02-18T13:28:01Z 2019-02-18T13:28:01Z 2012 Superintegrable Extensions of Superintegrable Systems / C.M. Chanu, L. Degiovanni, G. Rastelli // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 10 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 70H06; 70H33; 53C21 DOI: http://dx.doi.org/10.3842/SIGMA.2012.070 https://nasplib.isofts.kiev.ua/handle/123456789/148469 A procedure to extend a superintegrable system into a new superintegrable one is systematically tested for the known systems on E² and S² 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. This paper is a contribution to the Special Issue “Superintegrability, Exact Solvability, and Special Functions”. The full collection is available at http://www.emis.de/journals/SIGMA/SESSF2012.html. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Superintegrable Extensions of Superintegrable Systems Article published earlier |
| spellingShingle | Superintegrable Extensions of Superintegrable Systems Chanu, C.M. Degiovanni, L. Rastelli, G. |
| title | Superintegrable Extensions of Superintegrable Systems |
| title_full | Superintegrable Extensions of Superintegrable Systems |
| title_fullStr | Superintegrable Extensions of Superintegrable Systems |
| title_full_unstemmed | Superintegrable Extensions of Superintegrable Systems |
| title_short | Superintegrable Extensions of Superintegrable Systems |
| title_sort | superintegrable extensions of superintegrable systems |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/148469 |
| work_keys_str_mv | AT chanucm superintegrableextensionsofsuperintegrablesystems AT degiovannil superintegrableextensionsofsuperintegrablesystems AT rastellig superintegrableextensionsofsuperintegrablesystems |