Browsing by Subject "Toda lattices"

Now showing items 1-4 of 4

    • Article  

      Bogoyavlensky-Volterra and Birkhoff integrable systems 

      Damianou, Pantelis A.; Kouzaris, S. P. (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 ...
    • Article  

      From the Toda lattice to the Volterra lattice and back 

      Damianou, Pantelis A.; Fernandez, R. L. (2002)
      We discuss the relationship between the multiple Hamiltonian structures of the generalized Toda lattices and that of the generalized Volterra lattice.
    • Article  

      Intermediate Toda systems 

      Damianou, Pantelis A.; Sabourin, H.; Vanhaecke, P. (2015)
      We construct a large family of Hamiltonian systems which interpolate between the classical Kostant-Toda lattice and the full Kostant-Toda lattice and we discuss their integrability. There is one such system for every ...
    • 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 ...