• Article  

      A gentle (without Chopping) approach to the full Kostant-toda lattice 

      Damianou, Pantelis A.; Magri, F. (2005)
      In this paper we propose a new algorithm for obtaining the rational integrals of the full Kostant-Toda lattice. This new approach is based on a reduction of a bi-Hamiltonian system on gl(n, R). This system was obtained by ...
    • Article  

      On an integrable case of Kozlov-Treshchev Birkhoff integrable potentials 

      Damianou, Pantelis A.; Papageorgiou, V. G. (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 ...