This article is cited in 3 papers

On an Integrable Case of Kozlov–Treshchev Birkhoff Integrable Potentials

P. A. Damianou^a, V. G. Papageorgiou<sup>b

a</sup> 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.

MSC: 37J35, 37J30, 70H06, 22E10

Received: 16.01.2007
Accepted: 03.03.2007

Language: English

DOI: 10.1134/S1560354707020049

Bibliographic databases:

• 
•