We review a method of control for Hamiltonian systems which is able to create smooth invariant tori. This method of control is based on an apt modification of the perturbation which is small and localized in phase space.
Cite
@article{arxiv.nlin/0412044,
title = {Local control of Hamiltonian chaos},
author = {Cristel Chandre and Guido Ciraolo and Ricardo Lima and Michel Vittot},
journal= {arXiv preprint arXiv:nlin/0412044},
year = {2007}
}