A symplectic realization of the Volterra lattice
  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 operator. The rational Volterra bracket is obtained using a negative recursion operator. 
M. A. Agrotis, P. A. Damianou, G. Marmo