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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)
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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
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    • This publication is cited in the following 8 articles:
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    		Symmetry, Integrability and Geometry: Methods and Applications
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