Now showing items 1-2 of 2

• #### Non-integrability of some hamiltonians with rational potentials ﻿

(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 ﻿

(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 ...