English

Tailoring Phase Space : A Way to Control Hamiltonian Transport

Chaotic Dynamics 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.nlin/0405010,
  title  = {Tailoring Phase Space : A Way to Control Hamiltonian Transport},
  author = {Guido Ciraolo and Cristel Chandre and Ricardo Lima and Michel Vittot and Marco Pettini and Philippe Ghendrih},
  journal= {arXiv preprint arXiv:nlin/0405010},
  year   = {2007}
}