Tailoring phase space: A way to control Hamiltonian transportG. Ciraolo1, 2, 3, C. Chandre3, R. Lima3, M. Vittot3, M. Pettini2, 4, 5 and Ph. Ghendrih6
1 Facoltà di Ingegneria, Università di Firenze - via S. Marta, I-50129 Firenze, Italy
2 INFM UdR Firenze - Firenze, Italy
3 CPT-CNRS, Luminy Case 907 - F-13288 Marseille Cedex 9, France
4 Istituto Nazionale di Astrofisica, Osservatorio Astrofisico di Arcetri Largo Enrico Fermi 5, I-50125 Firenze, Italy
5 INFN Sezione di Firenze - Firenze, Italy
6 Association Euratom-CEA, DRFC/DSM/CEA, CEA Cadarache F-13108 St. Paul-lez-Durance Cedex, France
received 10 June 2004; accepted in final form 16 January 2005
published online 18 February 2005
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.
05.45.-a - Nonlinear dynamics and nonlinear dynamical systems.
05.45.Gg - Control of chaos, applications of chaos.
© EDP Sciences 2005