Tailoring Phase Space : A Way to Control Hamiltonian Transport

Details Tailoring Phase Space : A Way to Control Hamiltonian Transport Tailoring Phase Space : A Way to Control Hamiltonian Transport

2004-05-06

arxiv.org/abs/nlin/0405010v1

Europhysics Letters 69 (2005) 879

Nonlinear Sciences

Chaotic Dynamics

Scientific paper

10.1209/epl/i2004-10440-x

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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