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Regular and Chaotic Dynamics

, Volume 12, Issue 2, pp 160–171 | Cite as

On an integrable case of Kozlov-Treshchev Birkhoff integrable potentials

  • P. A. Damianou
  • V. G. Papageorgiou
Research Articles

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.

Key words

Toda lattices Birkhoff integrable systems integrability Hamiltonian systems 

MSC2000 numbers

37J35 37J30 70H06 22E10 

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Copyright information

© Pleiades Publishing, Ltd. 2007

Authors and Affiliations

  • P. A. Damianou
    • 1
  • V. G. Papageorgiou
    • 2
  1. 1.Department of Mathematics and StatisticsUniversity of CyprusNicosiaCyprus
  2. 2.Department of MathematicsUniversity of PatrasPatrasGreece

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