Geodesic
Self-Dual Hamiltonians as Deformations of Free Systems
Teoretičeskaâ i matematičeskaâ fizika, Tome 129 (2001) no. 2, pp. 327-332

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We formulate the problem of finding self-dual Hamiltonians (associated with integrable systems) as deformations of free systems given on various symplectic manifolds and discuss several known explicit examples including the recently found double elliptic Hamiltonians. We consider self-duality as the basic principle, while duality in integrable systems (of the Toda/Calogero/Ruijsenaars type) comes as a secondary notion (degenerations of self-dual systems). 
@article{TMF_2001_129_2_a11,
     author = {A. D. Mironov},
     title = {Self-Dual {Hamiltonians} as {Deformations} of {Free} {Systems}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     volume = {129},
     number = {2},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2001_129_2_a11/}
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A. D. Mironov. Self-Dual Hamiltonians as Deformations of Free Systems. Teoretičeskaâ i matematičeskaâ fizika, Tome 129 (2001) no. 2, pp. 327-332. http://geodesic.mathdoc.fr/item/TMF_2001_129_2_a11/