Europhys. Lett.
Volume 69, Number 6, March 2005
Page(s) 879 - 885
Section General
Published online 18 February 2005
Europhys. Lett., 69 (6), pp. 879-885 (2005)
DOI: 10.1209/epl/i2004-10440-x

Tailoring phase space: A way to control Hamiltonian transport

G. 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