The last integrable case of kozlov-Treshchev Birkhoff integrable potentials

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.

13 pages

References in corpus (3)

• Multiple Hamiltonian structure of Bogoyavlensky-Toda lattices
• Bogoyavlensky--Volterra and Birkhoff Integrable Systems
• The last integrable case of kozlov-Treshchev Birkhoff integrable potentials

Cited by in corpus (1)

• The last integrable case of kozlov-Treshchev Birkhoff integrable potentials