Volume 69, Number 6, March 2005
|Page(s)||879 - 885|
|Published online||18 February 2005|
Tailoring phase space: A way to control Hamiltonian transport
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
Accepted: 16 January 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.
PACS: 05.45.-a – Nonlinear dynamics and nonlinear dynamical systems / 05.45.Gg – Control of chaos, applications of chaos
© EDP Sciences, 2005
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