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Regular and Chaotic Dynamics, 2007, Volume 12, Issue 2, Pages 160–171
DOI: https://doi.org/10.1134/S1560354707020049 (Mi rcd619) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On an Integrable Case of Kozlov–Treshchev Birkhoff Integrable Potentials

P. A. Damianoua, V. G. Papageorgioub

a Department of Mathematics and Statistics, University of Cyprus, P.O. Box 20537, 1678 Nicosia, Cyprus
b Department of Mathematics, University of Patras, Patras 26500, Greece
Citations (3)
DOI: https://doi.org/10.1134/S1560354707020049
Abstract: We establish, using a new approach, the integrability of a particular case in the Kozlov–Treshchev classification of Birkhoff integrable Hamiltonian systems. The technique used is a modification of the so called quadratic Lax pair for $D_n$ Toda lattice combined with a method used by M. Ranada in proving the integrability of the Sklyanin case.
Keywords: Toda lattices, Birkhoff integrable systems, integrability, Hamiltonian systems.
Received: 16.01.2007
Accepted: 03.03.2007
Bibliographic databases:
Document Type: Article
MSC: 37J35, 37J30, 70H06, 22E10
Language: English
Citation: P. A. Damianou, V. G. Papageorgiou, “On an Integrable Case of Kozlov–Treshchev Birkhoff Integrable Potentials”, Regul. Chaotic Dyn., 12:2 (2007), 160–171
Citation in format AMSBIB
\Bibitem{DamPap07}
\by P.~A.~Damianou, V.~G.~Papageorgiou
\paper On an Integrable Case of Kozlov–Treshchev Birkhoff Integrable Potentials
\jour Regul. Chaotic Dyn.
\yr 2007
\vol 12
\issue 2
\pages 160--171
\mathnet{http://mi.mathnet.ru/rcd619}
\crossref{https://doi.org/10.1134/S1560354707020049}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2350304}
\zmath{https://zbmath.org/?q=an:1229.37062}
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