A nonintegrability test for perturbed separable
planar Hamiltonians
Efi Meletlidou
Department of Physics - University of Thessaloniki, Greece
We prove the non-integrability of perturbed separable planar
potentials by using the perturbed normal variational equations,
with a reasoning analogous to Ziglin's theorem. We apply the above
criterion to a Hamiltonian that cannot be proved non-integrable by
other known non-integrability criteria.