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Regular and Chaotic Dynamics, 2000, Volume 5, Issue 1, Pages 17–32
DOI: https://doi.org/10.1070/RD2000v005n01ABEH000121 (Mi rcd859) 		 
This article is cited in 17 scientific papers (total in 17 papers)

150th anniversary of S.V. Kovalevskaya

Multiple Hamiltonian Structures for Toda Systems of Type $A-B-C$

P. A. Damianou

Department of Mathematics and Statistics, University of Cyprus, P. O. Box 537, Nicosia, Cyprus
Citations (17)
DOI: https://doi.org/10.1070/RD2000v005n01ABEH000121
Abstract: Results on the finite nonperiodic $A_n$ Toda lattice are extended to the Bogoyavlensky–Toda systems of type $B_n$ and $C_n$. The investigated areas include master symmetries, recursion operators, higher Poisson brackets and invariants. A conjecture which relates the degrees of higher Poisson brackets and the exponents of the corresponding Lie group is verified for these systems.
Received: 12.10.1999
Bibliographic databases:
Document Type: Personalia
MSC: 34A05, 58F05, 58F07
Language: English
Citation: P. A. Damianou, “Multiple Hamiltonian Structures for Toda Systems of Type $A-B-C$”, Regul. Chaotic Dyn., 5:1 (2000), 17–32
Citation in format AMSBIB
\Bibitem{Dam00}
\by P.~A.~Damianou
\paper Multiple Hamiltonian Structures for Toda Systems of Type $A-B-C$
\jour Regul. Chaotic Dyn.
\yr 2000
\vol 5
\issue 1
\pages 17--32
\mathnet{http://mi.mathnet.ru/rcd859}
\crossref{https://doi.org/10.1070/RD2000v005n01ABEH000121}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1784727}
\zmath{https://zbmath.org/?q=an:0947.37050}
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