Now showing items 1-2 of 2

  • Non-integrability of some hamiltonians with rational potentials 

    Acosta Humánez, Primitivo Belén; Blázquez Sanz, David (2008-09-01)
    Article
    Open Access
    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
    Open Access
    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 ...