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Zbl 1122.37316
Borisov, A.V.; Mamaev, I.S.
Necessary and sufficient conditions for the polynomial integrability of generalized Toda chains. (English. Russian original)
[J] Dokl. Math. 69, No. 1, 131-135 (2004); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 394, No. 4, 449-453 (2004). ISSN 1064-5624; ISSN 1531-8362/e

Introduction: The most complete classification of Birkhoff integrable generalized Toda chains is given and a new integrable chain and the corresponding separating variables are considered.
MSC 2000:
*37J35 Completely integrable systems, etc.
70H06 Completely integrable systems and methods of integration

Keywords: Hamiltonian system; Birkhoff integrable generalized Toda chains

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