A method of chaos reduction for Hamiltonian systems is applied to control chaotic advection. By adding a small and simple term to the stream function of the system, the construction of invariant tori has a stabilization effect in the sense that these tori act as barriers to diffusion in phase space and the controlled Hamiltonian system exhibits a more regular behaviour.
@article{arxiv.nlin/0610002,
title = {Control of chaotic advection},
author = {Tounsia Benzekri and Cristel Chandre and Xavier Leoncini and Ricardo Lima and Michel Vittot and Arnaud Goullet and Nadine Aubry},
journal= {arXiv preprint arXiv:nlin/0610002},
year = {2007}
}