Browsing by Subject "Bi-Hamiltonian systems"

Now showing items 1-2 of 2

    • Article  

      The negative Toda hierarchy and rational Poisson brackets 

      Damianou, Pantelis A. (2003)
      In this paper we extend the usual hierarchies for the finite, nonperiodic Toda lattice for negative values of the index. We define an infinite sequence of rational homogeneous Poisson brackets, master symmetries, invariants ...
    • Article  

      Reduction and realization in toda and volterra 

      Damianou, Pantelis A. (2008)
      We construct a new symplectic, bi-Hamiltonian realization of the KM-system by reducing the corresponding one for the Toda lattice. The bi-Hamiltonian pair is constructed using a reduction theorem of Fernandes and Vanhaecke. ...