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The last integrable case of kozlov-Treshchev Birkhoff integrable potentials

Pantelis A. Damianou·Vassilis Papageorgiou
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Abstract

We establish the integrability of the last open 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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Pantelis A. Damianou, Vassilis Papageorgiou. 2007-01-10. The last integrable case of kozlov-Treshchev Birkhoff integrable potentials. https://doi.org/10.1134/s1560354707020049

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