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

Now showing items 1-7 of 7

    • 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  

      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 ...
    • 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 ...
    • Article  

      Symmetry group classification of three-dimensional Hamiltonian systems 

      Damianou, Pantelis A.; Sophocleous, Christodoulos (2000)
      We present some results on the symmetry group classification for an autonomous Hamiltonian system with three degrees of freedom. The potentials considered are natural, i.e., depend on the position variables only and the ...