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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
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
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
Linking options:
https://www.mathnet.ru/eng/rcd619 https://www.mathnet.ru/eng/rcd/v12/i2/p160
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