Tailoring Phase Space : A Way to Control Hamiltonian Transport

Guido Ciraolo (1, 2) , Cristel Chandre (3) , Ricardo Lima (1, 2) , Michel Vittot (3) , Marco Pettini (4) , Philippe Ghendrih (5)

1 CPT - Centre de Physique Théorique - UMR 6207
2 CPT - Centre de Physique Théorique - UMR 7332
3 nldyncpt
4 INAF - Istituto Nazionale di Astrofisica
5 DRFC - Département de Recherche sur la Fusion Contrôlée

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.

Domaines: Dynamique Chaotique [nlin.CD]

Guido Ciraolo, Cristel Chandre, Ricardo Lima, Michel Vittot, Marco Pettini, et al.. Tailoring Phase Space : A Way to Control Hamiltonian Transport. EPL - Europhysics Letters, 2005, 69, pp.879. ⟨10.1209/epl/i2004-10440-x⟩. ⟨hal-00001540⟩