Browsing by Subject "Birkhoff integrable systems"
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Article
Bogoyavlensky-Volterra and Birkhoff integrable systems
(2004)In this paper we examine an interesting connection between the generalized Volterra lattices of Bogoyavlensky and a special case of an integrable system defined by Sklyanin. The Sklyanin system happens to be one of the ...
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Article
On an integrable case of Kozlov-Treshchev Birkhoff integrable potentials
(2007)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 ...