This paper contains several results concerning the role of symmetries and
singularities in the mathematical formulation of many physical systems. We concentrate in
systems which nd their mathematical model on a symplectic or Poisson manifold and we
present old and new results from a global perspective
Miranda, E. Symmetries and singularities in Hamiltonian systems. "Journal of Physics: Conference Series", 2009, vol. 175, núm. 1.