Tailoring Phase Space : A Way to Control Hamiltonian Transport
Guido Ciraolo, Cristel Chandre, Ricardo Lima, Michel Vittot, Marco Pettini, Philippe Ghendrih
Abstract
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.
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