• 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  

      On generalized Volterra systems 

      Charalambides, Stelios A.; Damianou, Pantelis A.; Evripidou, Charalambos A. (2015)
      We construct a large family of evidently integrable Hamiltonian systems which are generalizations of the KM system. The algorithm uses the root system of a complex simple Lie algebra. The Hamiltonian vector field is ...
    • Article  

      On the liouville intergrability of lotka-volterra systems 

      Damianou, Pantelis A.; Petalidou, F. (2014)
      This paper is a review on some recent works on the Liouville integrability of a large class of Lotka-Volterra systems. © 2014 Damianou and Petalidou.
    • Article  

      So (p, q) Toda systems 

      Charalambides, Stelios A.; Damianou, Pantelis A. (2013)
      We define an integrable Hamiltonian system of Toda type associated with the real Lie algebra so(p,q). As usual there exist a periodic and a non-periodic version. We construct, using the root space, two Lax pair representations ...