Geodesic
A connection between the Henon--Heiles system and the Garnier system
Teoretičeskaâ i matematičeskaâ fizika, Tome 99 (1994) no. 3, pp. 552-559

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A remarkable map between a generalized Henon–Heiles system and the Garnier system is obtained by means of a detailed comparison between two finite–dimensional reduction methods for soliton equations: the stationary flows and the restricted flows. The role of the Gelfand–Dickey polynomials and of the KdV Poisson pencil in this construction is emphasized. 
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     author = {G. Tondo},
     title = {A connection between the {Henon--Heiles} system and the {Garnier} system},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {552--559},
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     volume = {99},
     number = {3},
     year = {1994},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1994_99_3_a25/}
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G. Tondo. A connection between the Henon--Heiles system and the Garnier system. Teoretičeskaâ i matematičeskaâ fizika, Tome 99 (1994) no. 3, pp. 552-559. http://geodesic.mathdoc.fr/item/TMF_1994_99_3_a25/