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Extended Hamiltonians, Coupling-Constant Metamorphosis and the Post–Winternitz System
Symmetry, integrability and geometry: methods and applications, Tome 11 (2015) Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     author = {Claudia Maria Chanu and Luca Degiovanni and Giovanni Rastelli},
     title = {Extended {Hamiltonians,} {Coupling-Constant} {Metamorphosis} and the {Post{\textendash}Winternitz} {System}},
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}
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Claudia Maria Chanu; Luca Degiovanni; Giovanni Rastelli. Extended Hamiltonians, Coupling-Constant Metamorphosis and the Post–Winternitz System. Symmetry, integrability and geometry: methods and applications, Tome 11 (2015). http://geodesic.mathdoc.fr/item/SIGMA_2015_11_a93/

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