On an integrable case of Kozlov-Treshchev Birkhoff integrable potentials |
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| Authors: | P A Damianou V G Papageorgiou |
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| Institution: | (1) Department of Mathematics and Statistics, University of Cyprus, P.O. Box 20537, 1678 Nicosia, Cyprus;(2) Department of Mathematics, University of Patras, Patras, 26500, Greece |
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| 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.
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| Keywords: | Toda lattices Birkhoff integrable systems integrability Hamiltonian systems |
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