Semi-complete foliations associated to Hamiltonian vector fields in dimension 2 ✩

We classify the foliations associated to Hamiltonian vector fields on C2, with an isolated singularity, admitting a semi-complete representative. In particular we also classify semi-complete foliations associated to the differential equation ¨x + f (x) = 0. © 2006 Elsevier Inc. All rights reserved.