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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)
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DOI: https://doi.org/10.3842/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
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\paper Superintegrable extensions of superintegrable systems
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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