Browsing Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics by Subject "Hamiltonians"

Now showing items 1-6 of 6

    • 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  

      Classification of noether symmetries for Lagrangians with three degrees of freedom 

      Damianou, Pantelis A.; Sophocleous, Christodoulos (2004)
      The noether symmetries of the Euler-Lagrange equations for a Hamiltonian system with three degrees were classified. All groups were classified that appeared as symmetries of a general Hamiltonians system of n degrees of ...
    • Conference Object  

      A construction of generalized Lotka–volterra systems connected with Sln.(C) 

      Charalambides, Stelios A.; Damianou, Pantelis A.; Evripidou, Charalambos A. (Springer New York LLC, 2014)
      We construct a large family of Hamiltonian systems which are connected with root systems of complex simple Lie algebras. These systems are generalizations of the KM system. The Hamiltonian vector field is homogeneous cubic ...
    • Article  

      Generalized Lotka - Volterra systems connected with simple Lie algebras 

      Charalambides, Stelios A.; Damianou, Pantelis A.; Evripidou, Charalambos A. (2015)
      We devise a new method for producing Hamiltonian systems by constructing the corresponding Lax pairs. This is achieved by considering a larger subset of the positive roots than the simple roots of the root system of a ...
    • Article  

      Noether and master symmetries for the Toda lattice 

      Damianou, Pantelis A.; Sophocleous, Christodoulos (2005)
      In this letter we examine the interrelation between Noether symmetries, master symmetries and recursion operators for the Toda lattice. The topics include invariants, higher Poisson brackets and the various relations they ...
    • 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 ...