The problem of controlling transport in Hamiltonian systems is of primordial importance for charged particles in fusion plasmas. The French laboratory CPT worked on a new approach (Computer code) to control transport in phase space. The close relation of transport properties and structure of the phase space allowed to address directly the possibility of controlling transport in these systems, using captures into resonances and escapes from the resonances. Promising non-fusion applications in space propulsion, chemicals, multifluidics, passively advected quantities and two-dimensional incompressible flows are considered.