• Non-integrability of some hamiltonians with rational potentials 

      Acosta Humánez, Primitivo Belén; Blázquez Sanz, David (2008-09-01)
      Article
      Accés obert
      In this paper we give a mechanism to compute the families of classical hamiltonians of two degrees of freedom with an invariant plane and normal variational equations of Hill-Schr\"odinger type selected in a suitable ...
    • On Hamiltonian potentials with cuartic polynomial normal variational equations 

      Acosta Humánez, Primitivo Belén; Blázquez Sanz, David; Vargas Contreras, Camilo (2008-08)
      Article
      Accés obert
      Here we find the complete family of two degree of freedom classical Hamiltonians with invariant plane $\Gamma=\{q_2=p_2=0\}$ whose normal variational equation around integral curves in $\Gamma$ is a generically a ...