Browsing Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics by Author "Vanhaecke, P."

Now showing items 1-4 of 4

    • Article  

      Integrable reductions of the Bogoyavlenskij-Itoh Lotka-Volterra systems 

      Damianou, Pantelis A.; Evripidou, Charalambos A.; Kassotakis, P.; Vanhaecke, P. (2017)
      Given a constant skew-symmetric matrix A, it is a difficult open problem whether the associated Lotka-Volterra system is integrable or not.We solve this problem in a special case when A is a Toeplitz matrix where all ...
    • 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 ...
    • Conference Object  

      Nilpotent orbits in simple Lie algebras and their transverse Poisson structures 

      Damianou, Pantelis A.; Sabourin, H.; Vanhaecke, P. (2008)
      We consider nilpotent adjoint orbits in complex simple Lie algebras and we examine their transverse Poisson structures. We specialize to the two extreme and most interesting cases, i.e. the subregular and minimal orbits. ...
    • Article  

      Transverse poisson structures to adjoint orbits in semisimple lie algebras 

      Damianou, Pantelis A.; Sabourin, H.; Vanhaecke, P. (2007)
      We study the transverse Poisson structure to adjoint orbits in a complex semisimple Lie algebra. The problem is first reduced to the case of nilpotent orbits. We prove then that in suitably chosen quasihomogeneous coordinates, ...