V. Papageorgiou

Address: 26500 Patras, Greece

E-mail: vassilis@math.upatras.gr

University: Department of Mathematics, University of Patras

Publications:

Damianou P. A., Papageorgiou V. G.

On an Integrable Case of Kozlov–Treshchev Birkhoff Integrable Potentials
2007, vol. 12, no. 2, pp. 160-171

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

Citation: Damianou P. A., Papageorgiou V. G., On an Integrable Case of Kozlov–Treshchev Birkhoff Integrable Potentials, Regular and Chaotic Dynamics, 2007, vol. 12, no. 2, pp. 160-171

DOI:10.1134/S1560354707010029

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