Tailoring phase space: A way to control Hamiltonian transport

We present a method to control transport in Hamiltonian systems. We provide an algorithm —based on a perturbation of the original Hamiltonian localized in phase space— to design small control terms that are able to create isolated barriers of transport without modifying other parts of phase space. We apply this method of localized control to a forced-pendulum model and to a system describing the motion of charged particles in a model of turbulent electric field