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Mathematics of the USSR-Izvestiya, 1990, Volume 34, Issue 3, Pages 555–574
DOI: https://doi.org/10.1070/IM1990v034n03ABEH000670 (Mi im1254) 		 
This article is cited in 17 scientific papers (total in 17 papers)

Polynomial integrals of Hamiltonian systems with exponential interaction

V. V. Kozlov, D. V. Treschev
English version PDF (1026 kB) Citations (17)
References:
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DOI: https://doi.org/10.1070/IM1990v034n03ABEH000670
Abstract: The problem on the complete integrability of Hamiltonian systems with exponential interaction is considered. These systems include, in particular, Toda chains and their generalizations. Conditions for the existence of a complete set of independent polynomial integrals are found. A complete classification of integrable systems is given by means of Dynkin diagrams. Certain new integrable chains are indicated.
Bibliography: 20 titles.
Received: 15.06.1987
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1989, Volume 53, Issue 3, Pages 537–556
Bibliographic databases:
Document Type: Article
UDC: 517.9+531.01
MSC: Primary 58F07, 58F05; Secondary 70H05, 34A25
Language: English
Original paper language: Russian
Citation: V. V. Kozlov, D. V. Treschev, “Polynomial integrals of Hamiltonian systems with exponential interaction”, Izv. Akad. Nauk SSSR Ser. Mat., 53:3 (1989), 537–556; Math. USSR-Izv., 34:3 (1990), 555–574
Citation in format AMSBIB
\Bibitem{KozTre89}
\by V.~V.~Kozlov, D.~V.~Treschev
\paper Polynomial integrals of Hamiltonian systems with exponential interaction
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1989
\vol 53
\issue 3
\pages 537--556
\mathnet{http://mi.mathnet.ru/im1254}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1013711}
\zmath{https://zbmath.org/?q=an:0727.58018|0684.58012}
\transl
\jour Math. USSR-Izv.
\yr 1990
\vol 34
\issue 3
\pages 555--574
\crossref{https://doi.org/10.1070/IM1990v034n03ABEH000670}
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    • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:794
    Russian version PDF:202
    English version PDF:11
    References:103
    First page:6
     
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