Browsing Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics by Author "Agrotis, Maria A."

Now showing items 1-4 of 4

    • Article  

      The modular hierarchy of the Toda lattice 

      Agrotis, Maria A.; Damianou, Pantelis A. (2007)
      The modular vector field plays an important role in the theory of Poisson manifolds and is intimately connected with the Poisson cohomology of the space. In this paper we investigate its significance in the theory of ...
    • Article  

      A symplectic realization of the Volterra lattice 

      Agrotis, Maria A.; Damianou, Pantelis A.; Marmo, G. (2005)
      We examine the multiple Hamiltonian structure and construct a symplectic realization of the Volterra model. We rediscover the hierarchy of invariants, Poisson brackets and master symmetries via the use of a recursion ...
    • Article  

      The Toda lattice is super-integrable 

      Agrotis, Maria A.; Damianou, Pantelis A.; Sophocleous, Christodoulos (2006)
      We prove that the classical, non-periodic Toda lattice is super-integrable. In other words, we show that it possesses 2 N - 1 independent constants of motion, where N is the number of degrees of freedom. The main ingredient ...
    • Article  

      Volterra's realization of the KM-system 

      Agrotis, Maria A.; Damianou, Pantelis A. (2007)
      We construct a symplectic realization of the KM-system and obtain the higher order Poisson tensors and commuting flows via the use of a recursion operator. This is achieved by doubling the number of variables through ...